THE CHARACTER ALGEBRA FOR MODULE CATEGORIES OVER HOPF ALGEBRAS

被引：1

作者：

Bortolussi, Noelia ^{[1
]}

Mombelli, Martin ^{[1
]}

机构：

[1] Univ Nacl Cordoba, Fac Matemat Astron & Fis, CIEM CONICET, Medina Allende S-N,Ciudad Univ, RA-5000 Cordoba, Argentina

来源：

COLLOQUIUM MATHEMATICUM | 2021年 / 165卷 / 02期

关键词：

tensor category; module category; Hopf algebra;

D O I：

10.4064/cm8170-5-2020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a finite-dimensional Hopf algebra H and an exact indecomposable module category M over Rep(H), we explicitly compute the adjoint algebra A(M) as an object in the category of Yetter-Drinfeld modules over H, and the space of class functions CF(M) associated to M, as introduced by K. Shimizu (2020). We use our construction to describe these algebras when H is a group algebra and a dual group algebra. This result allows us to compute the adjoint algebra for certain group-theoretical fusion categories.

引用

页码：171 / 197

页数：27

共 15 条

[11] The monoidal center construction and bimodules [J].