| FullText URL | mjou_061_129_139.pdf |
|---|---|
| Author | Shimeno, Nobukazu| |
| Abstract | We prove that the radial part of the class one Whittaker function on a split semisimple Lie group can be obtained as an appropriate limit of the Heckman-Opdam hypergeometric function. |
| Keywords | root system hypergeometric function Whittaker function |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 129 |
| End Page | 139 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_001_018.pdf |
|---|---|
| Author | Yang, Yu| |
| Abstract | Let R be a complete discrete valuation ring with algebraically residue field of characteristic p > 0 and X a stable curve over R. In the present paper, we study the geometry of coverings of X. Under certain assumptions, we prove that, by replacing R by a finite extension of R, there exists a morphism of stable curves f : Y → X over R such that the morphism fη : Yη → Xη induced by f on generic fibers is finite étale and the morphism fs : Ys → Xs induced by f on special fibers is non-finite. |
| Keywords | stable curve stable covering vertical point admissible covering |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 1 |
| End Page | 18 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_019_035.pdf |
|---|---|
| Author | Cahen, Benjamin| |
| Abstract | We introduce a Schr¨odinger model for the generic representations of a Heisenberg motion group and we construct adapted Weyl correspondences for these representations by adapting the method introduced in [ B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177-190]. |
| Keywords | Weyl correspondence Berezin quantization Heisenberg motion group Schr¨odinger representation Bargmann-Fock representation Segal-Bargmann transform unitary representation coadjoint orbit |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 19 |
| End Page | 35 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_037_073.pdf |
|---|---|
| Author | Higashiyama, Kazumi| |
| Abstract | In the present paper, we study configuration space groups. The goal of this paper is to reconstruct group-theoretically the inertia groups associated to various types of log divisors of a log configuration space of a smooth log curve from the associated configuration space group equipped with its collection of log-full subgroups. |
| Keywords | anabelian geometry configuration space log divisor log-full subgroup |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 37 |
| End Page | 73 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_075_084.pdf |
|---|---|
| Author | Izadi, Farzali| Baghalaghdam, Mehdi| |
| Keywords | Diophantine equations Cubes Quintics Elliptic curves Rank |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 75 |
| End Page | 84 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_085_098.pdf |
|---|---|
| Author | Watanabe, Taisuke| |
| Abstract | We verify some cases of a conjecture by C. Hayashi on the structure of the profile of a finite connected quandle. |
| Keywords | connected quandle finite quandle |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 85 |
| End Page | 98 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_099_128.pdf |
|---|---|
| Author | Hakim, Denny Ivanal| Nogayama, Toru| Sawano, Yoshihiro| |
| Abstract | This paper extends the result in [8] to Triebel-Lizorkin-Morrey spaces which contains 4 parameters p, q, r, s. This paper reinforces our earlier paper [8] by Nakamura, the first and the third authors in two different directions. First, we include the smoothness parameter s and the second smoothness parameter r. In [8] we assumed s = 0 and r = 2. Here we relax the conditions on s and r to s ∈ R and 1 < r ≤ ∞. Second, we apply a formula obtained by Bergh in 1978 to prove our main theorem without using the underlying sequence spaces. |
| Keywords | smoothness Morrey spaces Triebel-Lizorkin-Morrey spaces complex interpolation square function |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 99 |
| End Page | 128 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_141_158.pdf |
|---|---|
| Author | Raj, Kuldip| Anand, Renu| Pandoh, Suruchi| |
| Abstract | The present paper focus on introducing certain classes of Cesàro Orlicz sequences over n-normed spaces. We study some topological and algebraic properties of these spaces. Further, we examine relevant relations among the classes of these sequences. We show that these spaces are made n-BK-spaces under certain conditions. Finally, we compute the Köthe-Toeplitz duals of these spaces. |
| Keywords | Orlicz function Musielak-Orlicz function n-normed spaces difference sequence spaces Köthe-Toeplitz dual |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 141 |
| End Page | 158 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_199_204.pdf |
|---|---|
| Author | Hamid, Nur| Oura, Manabu| |
| Abstract | The Terwilliger algebra plays an important role in the theory of association schemes. The present paper gives the explicit structures of the Terwilliger algebras of the group association schemes of the finite groups PSL(2, 7), A6, and S6. |
| Keywords | Terwilliger algebragroup association scheme |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 199 |
| End Page | 204 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_187_198.pdf |
|---|---|
| Author | Rashid, M.H.M.| |
| Abstract | A Banach space operator satisfies property (Bw) if the complement of its B-Weyl spectrum in its the spectrum is the set of finite multiplicity isolated eigenvalues of the operator. Property (Bw) does not transfer from operators T and S to their tensor product T ⊗ S. We give necessary and /or sufficient conditions ensuring the passage of property (Bw) from T and S to T ⊗ S. Perturbations by Riesz operators are considered. |
| Keywords | property (Bw) SVEP tensor product |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 187 |
| End Page | 198 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_173_186.pdf |
|---|---|
| Author | Sato, Yuichiro| |
| Abstract | This paper gives, in generic situations, a complete classification of ruled minimal surfaces in pseudo-Euclidean space with arbitrary index. In addition, we discuss the condition for ruled minimal surfaces to exist, and give a counter-example on the problem of Bernstein type. |
| Keywords | minimal surface ruled surface pseudo-Euclidean space |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 173 |
| End Page | 186 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_167_172.pdf |
|---|---|
| Author | Brown, Stephen C.| Davis, Chad T.| |
| Abstract | Due to a theorem of Dedekind, factoring ideals generated by prime numbers in number fields is easily done given that said prime number does not divide the index of the field. In this paper, we determine the prime ideal factorizations of both 2 and 3 in cyclic quartic fields whose index is divisible by one of or both of these primes. |
| Keywords | Cyclic quartic field Prime ideal factorization |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 167 |
| End Page | 172 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_061_159_166.pdf |
|---|---|
| Author | Tasaka, Fuminori| |
| Abstract | A 2-block of a finite group having a Klein four hyperfocal subgroup has the same number of irreducible Brauer characters as the corresponding 2-block of the normalizer of the hyperfocal subgroup. |
| Keywords | group theory modular representation hyperfocal subgroup |
| Published Date | 2019-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume61 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 159 |
| End Page | 166 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_062_197_210.pdf |
|---|---|
| Author | Amy Poh Ai Ling| Taniguchi, Masaharu| |
| Abstract | The existence and stability of the Allen–Cahn equation discretized in space and time are studied in a finite spatial interval. If a parameter is less than or equals to a critical value, the zero solution is the only stationary solution. If the parameter is larger than the critical value, one has a positive stationary solution and this positive stationary solution is asymptotically stable. |
| Keywords | Allen–Cahn equation stationary solution comparison theorem discretized |
| Published Date | 2020-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume62 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 197 |
| End Page | 210 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_062_179_195.pdf |
|---|---|
| Author | Fujimori, Shoichi| Kawakami, Yu| Kokubu, Masatoshi| Rossman, Wayne| Umehara, Masaaki| Yamada, Kotaro| |
| Abstract | Catenoids in de Sitter 3-space S31 belong to a certain class of space-like constant mean curvature one surfaces. In a previous work, the authors classified such catenoids, and found that two different classes of countably many exceptional elliptic catenoids are not realized as closed subsets in S31 . Here we show that such exceptional catenoids have closed analytic extensions in S31 with interesting properties. |
| Keywords | constant mean curvature de Sitter space analytic extension |
| Published Date | 2020-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume62 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 179 |
| End Page | 195 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_062_087_178.pdf |
|---|---|
| Author | Hiroshima, Toya| |
| Abstract | The branching coefficients of the tensor product of finite-dimensional irreducible Uq(g)-modules, where g is so(2n + 1, C) (Bn-type), sp(2n,C) (Cn-type), and so(2n,C) (Dn-type), are expressed in terms of Littlewood-Richardson (LR) coefficients in the stable region. We give an interpretation of this relation by Kashiwara’s crystal theory by providing an explicit surjection from the LR crystal of type Cn to the disjoint union of Cartesian product of LR crystals of An−1-type and by proving that LR crystals of types Bn and Dn are identical to the corresponding LR crystal of type Cn in the stable region. |
| Keywords | Kashiwara crystals Littlewood-Richardson crystals Kashiwara-Nakashima tableaux Branching rule |
| Published Date | 2020-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume62 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 87 |
| End Page | 178 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University |
| Author | Oshima, Hideaki| Oshima, Katsumi| |
|---|---|
| Keywords | Toda bracket Unstable higher Toda bracket Higher composition Cofibration Coextension Extension |
| Published Date | 2020-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume62 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 27 |
| End Page | 86 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_062_001_025.pdf |
|---|---|
| Author | Ohara, Mariko| |
| Abstract | In this paper, we study K-theory of spectral schemes by using locally free sheaves. Let us regard the K-theory as a functor K on affine spectral schemes. Then, we prove that the group completion ΩBG(BGGL) represents the sheafification of K with respect to Zariski (resp. Nisnevich) topology G, where BGGL is a classifying space of a colimit of affine spectral schemes GLn. |
| Keywords | Infinity category Derived algebraic geometry K-theory |
| Published Date | 2020-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume62 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 1 |
| End Page | 25 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_063_061_086.pdf |
|---|---|
| Author | Itaba, Ayako| Matsuno, Masaki| |
| Abstract | Classification of AS-regular algebras is one of the main interests in non-commutative algebraic geometry. Recently, a complete list of superpotentials (defining relations) of all 3-dimensional AS-regular algebras which are Calabi-Yau was given by Mori-Smith (the quadratic case) and Mori-Ueyama (the cubic case), however, no complete list of defining relations of all 3-dimensional AS-regular algebras has not appeared in the literature. In this paper, we give all possible defining relations of 3-dimensional quadratic AS-regular algebras. Moreover, we classify them up to isomorphism and up to graded Morita equivalence in terms of their defining relations in the case that their point schemes are not elliptic curves. In the case that their point schemes are elliptic curves, we give conditions for isomorphism and graded Morita equivalence in terms of geometric data. |
| Keywords | AS-regular algebras geometric algebras quadratic algebras nodal cubic curves elliptic curves Hesse form Sklyanin algebras |
| Published Date | 2021-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume63 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 61 |
| End Page | 86 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_063_015_052.pdf |
|---|---|
| Author | da Silva, Luiz C. B.| |
| Abstract | We study invariant surfaces generated by one-parameter subgroups of simply and pseudo isotropic rigid motions. Basically, the simply and pseudo isotropic geometries are the study of a three-dimensional space equipped with a rank 2 metric of index zero and one, respectively. We show that the one-parameter subgroups of isotropic rigid motions lead to seven types of invariant surfaces, which then generalizes the study of revolution and helicoidal surfaces in Euclidean and Lorentzian spaces to the context of singular metrics. After computing the two fundamental forms of these surfaces and their Gaussian and mean curvatures, we solve the corresponding problem of prescribed curvature for invariant surfaces whose generating curves lie on a plane containing the degenerated direction. |
| Keywords | Simply isotropic space pseudo-isotropic space singular metric invariant surface prescribed Gaussian curvature prescribed mean curvature |
| Published Date | 2021-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume63 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 15 |
| End Page | 52 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University |
