user

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.
引用
下载
收藏
页码：141 / 166
页数：25
相关论文
共 50 条
  • [41] Schur-Weyl duality in positive characteristic
    Doty, Stephen
    REPRESENTATION THEORY-BK, 2009, 478 : 15 - 28
  • [42] Schur-Weyl Duality for the Clifford Group with Applications: Property Testing, a Robust Hudson Theorem, and de Finetti Representations
    Gross, David
    Nezami, Sepehr
    Walter, Michael
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021, 385 (03) : 1325 - 1393
  • [43] Cyclotomic q-Schur algebras and Schur-Weyl duality
    Lin, Zongzhu
    Rui, Hebing
    REPRESENTATIONS OF ALGEBRAIC GROUPS, QUANTUM GROUPS, AND LIE ALGEBRAS, 2006, 413 : 133 - +
  • [44] New Braided T-Categories over Weak Crossed Hopf Group Coalgebras
    Zhou, Xuan
    Yang, Tao
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [45] Brauer algebras, symplectic Schur algebras and Schur-Weyl duality
    Dipper, Richard
    Doty, Stephen
    Hu, Jun
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 360 (01) : 189 - 213
  • [46] AFFINE HIGHEST WEIGHT CATEGORIES AND QUANTUM AFFINE SCHUR-WEYL DUALITY OF DYNKIN QUIVER TYPES
    Fujita, Ryo
    REPRESENTATION THEORY, 2022, 26 : 211 - 263
  • [47] The Witt group of non-degenerate braided fusion categories
    Davydov, Alexei
    Muger, Michael
    Nikshych, Dmitri
    Ostrik, Victor
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2013, 677 : 135 - 177
  • [48] Coquasitriangular Weak Hopf Group Algebras and Braided Monoidal Categories
    Shuangjian GUO
    Journal of Mathematical Research with Applications, 2014, 34 (06) : 655 - 668
  • [49] On Lagrangian algebras in group-theoretical braided fusion categories
    Davydov, Alexei
    Simmons, Darren
    JOURNAL OF ALGEBRA, 2017, 471 : 149 - 175
  • [50] Frobenius-Schur Indicator for Categories with Duality
    Shimizu, Kenichi
    AXIOMS, 2012, 1 (03) : 324 - 364
12345