| 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 |
