Elliptic Lie (super)algebras, affine Lie superalgebras and their quauntum groupsand their representation theories
| Project/Area Number |
16540026
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Osaka University |
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Principal Investigator |
YAMANE Hiroyuki Osaka University, Graduate School of Information Science and Technology, Associate Professor, 大学院情報科学研究科, 助教授 (10230517)
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| Co-Investigator(Kenkyū-buntansha) |
HIBI Takayuki Osaka University, Graduate School of Information Science and Technology, Associate Professor, 大学院情報科学研究科, 教授 (80181113)
KAWANAKA Noriaki Osaka University, Graduate.School of Information Science and Technology, Associate Professor, 大学院情報科学研究科, 教授 (10028219)
DATE Etsurou Osaka University, Graduate School of Information Science and Technology, Associate Professor, 大学院情報科学研究科, 教授 (00107062)
NAGATOMO Kiyokazu Osaka University, Graduate School of Information Science and Technology, Associate Professor, 大学院情報科学研究科, 助教授 (90172543)
MIKI Kei Osaka University, Graduate School of Information Science and Technology, Associate Professor, 大学院情報科学研究科, 助教授 (40212229)
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| Project Period (FY) |
2004 – 2006
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| Project Status |
Completed (Fiscal Year 2006)
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| Budget Amount *help |
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2006: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2004: ¥1,900,000 (Direct Cost: ¥1,900,000)
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| Keywords | Elliptic Lie algebras / Elliptic Lie superalgebras / Elliptic quantum groups / Super quantum groups / Z / 3Z quantum groups / Coxeter groups / Coxeter groupoids / Word problem of semigroups / 楕円リー超代数 / 楕円リー起代数 / 楕円ルート系 / 量子群 |
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| Research Abstract |
Coxeter semigroups (groupoids) and an associated Matsumoto-type theorem were studied. Yamane, in a joint work with Heckenberger, intruduced a notion of the Coxeter semigroups, being inspired by research of Lie superalgebras and Nicols algebras. He also showed a Matsumot-type theorem, that is, any two elements of the Coxeter semigroups having the same length are transformed from one to the other by the Coxeter (braid) relations only. Miki studied the type A quantum toroidal algebras and Macdonald's defference operators.
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Report
(4 results)
Research Products
(22 results)
