フルテキストURL mjou_061_159_166.pdf
著者 Tasaka, Fuminori|
抄録 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.
キーワード group theory modular representation hyperfocal subgroup
発行日 2019-01
出版物タイトル Mathematical Journal of Okayama University
61巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 159
終了ページ 166
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_061_167_172.pdf
著者 Brown, Stephen C.| Davis, Chad T.|
抄録 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.
キーワード Cyclic quartic field Prime ideal factorization
発行日 2019-01
出版物タイトル Mathematical Journal of Okayama University
61巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 167
終了ページ 172
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_061_173_186.pdf
著者 Sato, Yuichiro|
抄録 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.
キーワード minimal surface ruled surface pseudo-Euclidean space
発行日 2019-01
出版物タイトル Mathematical Journal of Okayama University
61巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 173
終了ページ 186
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_061_187_198.pdf
著者 Rashid, M.H.M.|
抄録 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.
キーワード property (Bw) SVEP tensor product
発行日 2019-01
出版物タイトル Mathematical Journal of Okayama University
61巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 187
終了ページ 198
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_061_199_204.pdf
著者 Hamid, Nur| Oura, Manabu|
抄録 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.
キーワード Terwilliger algebragroup association scheme
発行日 2019-01
出版物タイトル Mathematical Journal of Okayama University
61巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 199
終了ページ 204
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_062_001_025.pdf
著者 Ohara, Mariko|
抄録 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 ΩB<sup>G</sup>(B<sup>G</sup>GL) represents the sheafification of K with respect to Zariski (resp. Nisnevich) topology G, where B<sup>G</sup>GL is a classifying space of a colimit of affine spectral schemes GLn.
キーワード Infinity category Derived algebraic geometry K-theory
発行日 2020-01
出版物タイトル Mathematical Journal of Okayama University
62巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 1
終了ページ 25
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University
著者 Oshima, Hideaki| Oshima, Katsumi|
キーワード Toda bracket Unstable higher Toda bracket Higher composition Cofibration Coextension Extension
発行日 2020-01
出版物タイトル Mathematical Journal of Okayama University
62巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 27
終了ページ 86
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_062_087_178.pdf
著者 Hiroshima, Toya|
抄録 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.
キーワード Kashiwara crystals Littlewood-Richardson crystals Kashiwara-Nakashima tableaux Branching rule
発行日 2020-01
出版物タイトル Mathematical Journal of Okayama University
62巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 87
終了ページ 178
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_062_179_195.pdf
著者 Fujimori, Shoichi| Kawakami, Yu| Kokubu, Masatoshi| Rossman, Wayne| Umehara, Masaaki| Yamada, Kotaro|
抄録 Catenoids in de Sitter 3-space S<sup>3</sup><sub>1</sub> 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 S<sup>3</sup><sub>1</sub> . Here we show that such exceptional catenoids have closed analytic extensions in S<sup>3</sup><sub>1</sub> with interesting properties.
キーワード constant mean curvature de Sitter space analytic extension
発行日 2020-01
出版物タイトル Mathematical Journal of Okayama University
62巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 179
終了ページ 195
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University
フルテキストURL mjou_062_197_210.pdf
著者 Amy Poh Ai Ling| Taniguchi, Masaharu|
抄録 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.
キーワード Allen–Cahn equation stationary solution comparison theorem discretized
発行日 2020-01
出版物タイトル Mathematical Journal of Okayama University
62巻
1号
出版者 Department of Mathematics, Faculty of Science, Okayama University
開始ページ 197
終了ページ 210
ISSN 0030-1566
NCID AA00723502
資料タイプ 学術雑誌論文
言語 English
著作権者 Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University