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- PARSHALL Brian
- DEPARTMENT OF MATHEMATICS UNIVERSITY OF VIRGINIA
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- WANG Jian-pan
- DEPARTMENT OF MATHEMATICS EAST CHINA NORMAL UNIVERSITY
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In this paper, we investigate the cohomology of infinitesimal quantum groups (and algebras) associated to classical quantum groups (and algebras) at a root of unity. A main result expresses the Ext-groups between irreducible modules in terms of those for the full quantum group. Under the assumption that certain module categories for the quantum group have a Kazhdan-Lusztig theory (in the sense of Cline, Parshall, and Scott), this permits explicit calculations of cohomology in terms of Kazhdan-Lusztig polynomials. This assumption in turn follows from recently announced results of Kazhdan and Lusztig.
収録刊行物
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- Ｔｏｈｏｋｕ Ｍａｔｈｅｍａｔｉｃａｌ Ｊｏｕｒｎａｌ， Ｓｅｃｏｎｄ Ｓｅｒｉｅｓ
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Ｔｏｈｏｋｕ Ｍａｔｈｅｍａｔｉｃａｌ Ｊｏｕｒｎａｌ， Ｓｅｃｏｎｄ Ｓｅｒｉｅｓ 44 (3), 395-423, 1992
東北大学大学院理学研究科数学専攻
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詳細情報 詳細情報について
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- CRID
- 1390001205118253568
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- NII論文ID
- 110000026633
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- NII書誌ID
- AA00863953
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- ISSN
- 2186585X
- 00408735
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- MRID
- 1176081
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- 本文言語コード
- en
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- データソース種別
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- JaLC
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- 使用不可