New Turaev Braided Group Categories and Group Schur–Weyl Duality

被引：6
|
作者：
Shuanhong Wang
机构：
[1] Southeast University,Department of Mathematics
来源：
Applied Categorical Structures | 2013年 / 21卷
关键词：
Turaev braided group-categories; Turaev group-algebras; Yetter–Drinfeld categories; Braided Lie algebras; Group-Schur–Weyl duality; 16W30; 57M27; 18C20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For a group G, we describe a new construction of a Turaev braided G-category with a particular braided monoidal subcategory and then we study the structure of a Hopf algebra in this subcategory. As an application, we establish a generalized G-Schur–Weyl duality between certain Turaev G-algebra and the symmetric group algebra.
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页码：141 / 166
页数：25
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