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Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations
FullText URL mjou_065_035_081.pdf
Author Morita, Jun| Pianzola, Arturo| Shibata, Taiki|
Abstract We provide explicit generators and relations for the affine Kac-Moody groups, as well as a realization of them as (twisted) loop groups by means of Galois descent considerations. As a consequence, we show that the affine Kac-Moody group of type X(r) N is isomorphic to the fixed-point subgroup of the affine Kac-Moody group of type X(1) N under an action of the Galois group.
Keywords Affine Kac-Moody groups Loop groups Twisted Chevalley groups
Published Date 2023-01
Publication Title Mathematical Journal of Okayama University
Volume volume65
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 35
End Page 81
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2023 by the Editorial Board of Mathematical Journal of Okayama University
E(2)-local Picard graded beta elements at the prime three
FullText URL mjou_065_023_034.pdf
Author Kato, Ryo|
Abstract Let E(2) be the second Johnson-Wilson spectrum at the prime 3. In this paper, we show that some beta elements exist in the homotopy groups of the E(2)-localized sphere spectrum with a grading over the Picard group of the stable homotopy category of E(2)-local spectra.
Keywords Stable homotopy of spheres Picard group
Published Date 2023-01
Publication Title Mathematical Journal of Okayama University
Volume volume65
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 23
End Page 34
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2023 by the Editorial Board of Mathematical Journal of Okayama University
A characterization of the class of Harada rings
FullText URL mjou_065_001_022.pdf
Author Koike, Kazutoshi|
Abstract There are many characterizations of Harada rings. In this paper, we characterize right co-Harada rings by giving a characterization of the class of basic right co-Harada rings.
Keywords Harada rings QF rings
Published Date 2023-01
Publication Title Mathematical Journal of Okayama University
Volume volume65
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 1
End Page 22
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2023 by the Editorial Board of Mathematical Journal of Okayama University
Machine Learning and Inverse Optimization for Estimation of Weighting Factors in Multi-Objective Production Scheduling Problems
FullText URL fulltext.pdf
Author Togo, Hidetoshi| Asanuma, Kohei| Nishi, Tatsushi| Liu, Ziang|
Keywords multi-objective scheduling estimation weighting factors machine learning simulated annealing inverse optimization
Published Date 2022-09-21
Publication Title Applied Sciences - Basel
Volume volume12
Issue issue19
Publisher MDPI
Start Page 9472
ISSN 2076-3417
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2022 by the authors.
File Version publisher
DOI 10.3390/app12199472
Web of Science KeyUT 000866634100001
Related Url isVersionOf https://doi.org/10.3390/app12199472
Low-J Transitions in A˜2Π(0,0,0)−X˜2Σ+(0,0,0) Band of Buffer-gas-cooled CaOH
FullText URL fulltext20220920-1.pdf
Author Takahashi, Yuiki| Baba, Masaaki| Enomoto, Katsunari| Hiramoto, Ayami| Iwakuni, Kana| Kuma, Susumu| Tobaru, Reo| Miyamoto, Yuki|
Published Date 2022-9-1
Publication Title The Astrophysical Journal
Volume volume936
Issue issue2
Publisher American Astronomical Society
ISSN 0004-637X
NCID AA00553242
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2022. The Author(s).
File Version publisher
DOI 10.3847/1538-4357/ac87fb
Web of Science KeyUT 000850350600001
Related Url isVersionOf https://doi.org/10.3847/1538-4357/ac87fb
Immune response to SARS-CoV-2 in severe disease and long COVID-19
FullText URL fulltext.pdf
Author Sumi, Tomonari| Harada, Kouji|
Published Date 2022-08-19
Publication Title ISCIENCE
Volume volume25
Issue issue8
Publisher CELL PRESS
Start Page 104723
ISSN 2589-0042
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2022 The Author(s).
File Version publisher
PubMed ID 35813874
DOI 10.1016/j.isci.2022.104723
Web of Science KeyUT 000843628600010
Related Url isVersionOf https://doi.org/10.1016/j.isci.2022.104723
Global stability of an age-structured infection model in vivo with two compartments and two routes
FullText URL fulltext.pdf
Author Kajiwara, Tsuyoshi| Sasaki, Toru| Otani, Yoji|
Keywords global stability two routes of infection two compartments type reproduction number lyapunov functional
Published Date 2022-08-02
Publication Title Mathematical Biosciences And Engineering
Volume volume19
Issue issue11
Publisher American Institute of Mathematical Sciences
Start Page 11047
End Page 11070
ISSN 1547-1063
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2022 the Author(s), licensee AIMS Press.
File Version publisher
DOI 10.3934/mbe.2022515
Web of Science KeyUT 000850188600006
Related Url isVersionOf https://doi.org/10.3934/mbe.2022515
Visual hallucinations in dementia with Lewy bodies originate from necrosis of characteristic neurons and connections in three-module perception model
FullText URL fulltext.pdf
Author Nara, Shigetoshi| Fujii, Hiroshi| Tsukada, Hiromichi| Tsuda, Ichiro|
Published Date 2022-08-19
Publication Title Scientific Reports
Volume volume12
Issue issue1
Publisher Nature Portfolio
Start Page 14172
ISSN 2045-2322
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © The Author(s) 2022
File Version publisher
PubMed ID 35986200
DOI 10.1038/s41598-022-18313-6
Web of Science KeyUT 000842561700031
Related Url isVersionOf https://doi.org/10.1038/s41598-022-18313-6
Evaluation of Euler number of complex Grassmann manifold G(k,N) via Mathai-Quillen formalism
FullText URL fulltext20220901-1.pdf
Author Imanishi, Shoichiro| Jinzenji, Masao| Kuwata, Ken|
Keywords Supersymmetry Topological Yang-Mills theory Schubert calculus Grassmann manifold Grassmann variable
Note © 2022 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0 License. http://creativecommons.org/licenses/by-nc-nd/4.0/. This is the accepted manuscript version. The formal published version is available at [https://doi.org/10.1016/j.geomphys.2022.104623] .
This fulltext is available in July 2024.|
Published Date 2022-10
Publication Title Journal of Geometry and Physics
Volume volume180
Publisher Elsevier BV
Start Page 104623
ISSN 0393-0440
NCID AA10459014
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2022 Elsevier B.V.
File Version author
DOI 10.1016/j.geomphys.2022.104623
Web of Science KeyUT 000835529100007
Related Url isVersionOf https://doi.org/10.1016/j.geomphys.2022.104623
Approximations of Lipschitz maps via Ehresmann fibrations and Reeb's sphere theorem for Lipschitz functions
FullText URL fulltext20220525-4.pdf
Author Kondo, Kei|
Keywords convex analysis Ehresmann fibration Lipschitz map nonsmooth analysis Reeb’s sphere theorem smooth approximation
Note This article will be available in April 2025.|
Published Date 2022-4
Publication Title Journal of the Mathematical Society of Japan
Volume volume74
Issue issue2
Publisher Mathematical Society of Japan (Project Euclid)
Start Page 521
End Page 548
ISSN 0025-5645
NCID AA0070177X
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders Copyright ©2022 Mathematical Society of Japan
File Version publisher
DOI 10.2969/jmsj/83448344
Web of Science KeyUT 000792493000001
Related Url isVersionOf https://doi.org/10.2969/jmsj/83448344
Indecomposable integrally closed modules of arbitrary rank over a two-dimensional regular local ring
FullText URL fulltext20220509-3.pdf
Author Hayasaka, Futoshi|
Keywords integral closure indecomposable module monomial ideal regular local ring
Note © 2022 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0 License. http://creativecommons.org/licenses/by-nc-nd/4.0/. This is the accepted manuscript version. The formal published version is available at [https://doi.org/10.1016/j.jpaa.2022.107026] .| This fulltext is available in Jan. 2024.|
Published Date 2022-08
Publication Title Journal of Pure and Applied Algebra
Volume volume226
Issue issue8
Publisher Elsevier BV
Start Page 107026
ISSN 0022-4049
NCID AA00705737
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2022 Elsevier B.V.
File Version author
DOI 10.1016/j.jpaa.2022.107026
Web of Science KeyUT 000778651000007
Related Url isVersionOf https://doi.org/10.1016/j.jpaa.2022.107026
Cultural relevance of validation during mathematical modeling and word problem-solving: Reconceptualizing validation as an integration of possible fictional worlds
FullText URL fulltext20220413-10.pdf
Author Ishibashi, Ippo| Uegatani, Yusuke|
Keywords Mathematical modeling Mathematical word problem-solving Validation Fictionality of word problems Creation of possible fictional worlds
Note © 2022 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0 License. http://creativecommons.org/licenses/by-nc-nd/4.0/. This is the accepted manuscript version. The formal published version is available at https://doi.org/10.1016/j.jmathb.2022.100934| This fulltext is available in Feb.2024.|
Published Date 2022-06
Publication Title The Journal of Mathematical Behavior
Volume volume66
Publisher Elsevier BV
Start Page 100934
ISSN 0732-3123
NCID AA10619799
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2022 Elsevier Inc.
File Version author
DOI 10.1016/j.jmathb.2022.100934
Web of Science KeyUT 000770650500001
Related Url isVersionOf https://doi.org/10.1016/j.jmathb.2022.100934
Moduli space of quasimaps from P-1 with two marked points to P(1,1,1,3) and j-invariant
FullText URL fulltext20211206-2.pdf
Author JINZENJI, Masao| SAITO, Hayato|
Published Date 2021-10-22
Publication Title Journal of the Mathematical Society of Japan
Volume volume73
Issue issue4
Publisher Mathematical Society of Japan (Project Euclid)
Start Page 995
End Page 1018
ISSN 0025-5645
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders © 2021 Microbiology Society.
File Version publisher
DOI 10.2969/jmsj/83148314
Web of Science KeyUT 000711190900001
Related Url isVersionOf https://doi.org/10.2969/jmsj/83148314
A note on a Hecke ring associated with the Heisenberg Lie algebra
FullText URL mjou_064_215_225.pdf
Author Hyodo, Fumitake|
Abstract This paper focuses on the theory of the Hecke rings associated with the general linear groups originally studied by Hecke and Shimura et al., and moreover generalizes its notions to Hecke rings associated with the automorphism groups of certain algebras. Then, in the case of the Heisenberg Lie algebra, we show an analog of the classical theory.
Keywords Hecke rings noncommutative rings
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 215
End Page 225
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
On Hook Formulas for Cylindric Skew Diagrams
FullText URL mjou_064_191_213.pdf
Author Suzuki, Takeshi| Toyosawa, Yoshitaka|
Abstract We present a conjectural hook formula concerning the number of the standard tableaux on "cylindric" skew diagrams. Our formula can be seen as an extension of Naruse's hook formula for skew diagrams. Moreover, we prove our conjecture in some special cases.
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 191
End Page 213
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
Symbolic powers of monomial ideals
FullText URL mjou_064_187_190.pdf
Author Puthenpurakal, Tony J. |
Abstract Let K be a field and consider the standard grading on A = K[X1, ... ,Xd]. Let I, J be monomial ideals in A. Let In(J) = (In : J∞) be the nth symbolic power of I with respect to J. It is easy to see that the function fI J (n) = e0(In(J)/In) is of quasi-polynomial type, say of period g and degree c. For n ≫ 0 say

fIJ (n) = ac(n)nc + ac−1(n)nc−1 + lower terms,

where for i = 0, ... , c, ai : N → Q are periodic functions of period g and ac ≠0. In [4, 2.4] we (together with Herzog and Verma) proved that dim In(J)/In is constant for n ≫ 0 and ac(−) is a constant. In this paper we prove that if I is generated by some elements of the same degree and height I ≥ 2 then ac−1(−) is also a constant.
Keywords quasi-polynomials monomial ideals symbolic powers
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 187
End Page 190
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
Bijective proofs of the identities on the values of inner products of the Macdonald polynomials
FullText URL mjou_064_153_186.pdf
Author Nishiyama, Yuta|
Abstract In this article, we introduce some identities obtained from the inner products of some symmetric polynomials including the Macdonald polynomials. These identities are obtained not only from the inner products, but also by constructing certain bijections. The bijections are constructed through transforming the Young diagrams of partitions.
Keywords Macdonald polynomials Young diagram bijective proof
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 153
End Page 186
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
Quantum Sylvester-Franke Theorem
FullText URL mjou_064_143_151.pdf
Author Aokage, Kazuya | Tabata, Sumitaka | Yamada, Hiro-Fumi|
Abstract A quantum version of classical Sylvester-Franke theorem is presented. After reviewing some representation theory of the quantum group GLq (n, C), the commutation relations of the matrix elements are verified. Once quantum determinant of the representation matrix is defined, the theorem follows naturally
Keywords Quantum general linear group Sylvester-Franke theorem
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 143
End Page 151
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
τ-tilting finiteness of two-point algebras I
FullText URL mjou_064_117_141.pdf
Author Wang, Qi|
Abstract As the first attempt to classify τ-tilting finite two-point algebras, we have determined the τ-tilting finiteness for minimal wild two-point algebras and some tame two-point algebras.
Keywords Support τ-tilting modules τ-tilting finite two-point algebras
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 117
End Page 141
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
Notes on the filtration of the K-theory for abelian p-groups
FullText URL mjou_064_109_116.pdf
Author Yagita, Nobuaki|
Abstract Let p be a prime number. For a given finite group G, let gr*γ(BG) be the associated ring of the gamma filtration of the topological K-theory for the classifying space BG. In this paper, we study gr*γ(BG) when G are abelian p-groups which are not elementary. In particular, we extend related Chetard’s results for such 2-groups to p-groups for odd p.
Keywords K-theory gamma fitration abelian p-group
Published Date 2022-01
Publication Title Mathematical Journal of Okayama University
Volume volume64
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 109
End Page 116
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language English
Copyright Holders Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
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