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和地 輝仁
ワチ アキヒト WACHI Akihito 所 属 釧路校 職 名 教授 |
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| 発表年月日 | 2012/09 |
| 発表テーマ | q-Analogues of dimension formula and the SLP |
| 会議名 | Workshop in Hawaii: Aspects of SLP and WLP |
| 発表区分 | 講演 |
| 発表形式 | 口頭（一般） |
| 単独共同区分 | 単独 |
| 開催地名 | Hawaii Tokai International College, Honolulu, USA |
| 種別 | 国際的又は全国的規模 |
| 概要 | The hook length formula and the Weyl dimension formula are the dimension formulas of finite dimensional irreducible Sn-modules and GLn(C)-modules, respectively. These modules play an important role in the Schur-Weyl duality. By considering q-analogue of these dimension formulas we have an analogue (refinement) of the Schur-Weyl duality, which is realized on an algebra having the SLP. This is a good example of application of commutative ring theory to representation theory. |