Author Inagaki, Takeshi|
Published Date 1952-03
Publication Title Mathematical Journal of Okayama University
Volume volume1
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33719
Author Inagaki, Takeshi|
Published Date 1954-10
Publication Title Mathematical Journal of Okayama University
Volume volume4
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33759
Author Nagahara, Takasi| Tominaga, Hisao|
Published Date 1963-03
Publication Title Mathematical Journal of Okayama University
Volume volume11
Issue issue2
Content Type Journal Article
JaLCDOI 10.18926/mjou/33611
Author Nobusawa, Nobuo|
Published Date 1988-01
Publication Title Mathematical Journal of Okayama University
Volume volume30
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33559
Author Kanemitsu, Shigeru|
Published Date 1980-12
Publication Title Mathematical Journal of Okayama University
Volume volume22
Issue issue2
Content Type Journal Article
JaLCDOI 10.18926/mjou/33879
Author Nakajima, Atsushi|
Published Date 1979-12
Publication Title Mathematical Journal of Okayama University
Volume volume21
Issue issue2
Content Type Journal Article
JaLCDOI 10.18926/mjou/33824
Author Nakajima, Atsushi|
Published Date 1980-12
Publication Title Mathematical Journal of Okayama University
Volume volume22
Issue issue2
Content Type Journal Article
JaLCDOI 10.18926/mjou/33872
Author Sato, Ryotaro|
Published Date 1981-12
Publication Title Mathematical Journal of Okayama University
Volume volume23
Issue issue2
Content Type Journal Article
JaLCDOI 10.18926/mjou/33845
Author O'neill, John D.|
Published Date 1978-10
Publication Title Mathematical Journal of Okayama University
Volume volume20
Issue issue2
Content Type Journal Article
JaLCDOI 10.18926/mjou/33960
Author Faith, Carl|
Published Date 1986-01
Publication Title Mathematical Journal of Okayama University
Volume volume28
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33934
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 英語
Copyright Holders Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University
Author Abbena, Elsa| Garbiero, Sergio|
Published Date 1992-01
Publication Title Mathematical Journal of Okayama University
Volume volume34
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33142
Author Itoh, Jin-ichi| Sakai, Takashi|
Published Date 2007-01
Publication Title Mathematical Journal of Okayama University
Volume volume49
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33118
Author Lidl, Rudolf| Mullen, Gary L.|
Published Date 1991-01
Publication Title Mathematical Journal of Okayama University
Volume volume33
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33705
Author Miyashita, Toshikazu|
Published Date 2002-01
Publication Title Mathematical Journal of Okayama University
Volume volume44
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33126
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 英語
Copyright Holders Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
Author Ikeda, Kazuoki|
Published Date 1992-01
Publication Title Mathematical Journal of Okayama University
Volume volume34
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33143
Author Sasao, Akira|
Published Date 1992-01
Publication Title Mathematical Journal of Okayama University
Volume volume34
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33156
Author Trzepizur, Andrzej|
Published Date 1986-01
Publication Title Mathematical Journal of Okayama University
Volume volume28
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33941
Author Ihara, Kentaro|
Published Date 2005-01
Publication Title Mathematical Journal of Okayama University
Volume volume47
Issue issue1
Content Type Journal Article
JaLCDOI 10.18926/mjou/33600