Functors for Long dimodules and Yetter-Drinfeld modules in a weak setting

被引：0

作者：

Alvarez, Jose Nicanor Alonso ^{[1
]}

Rodriguez, Ramon Gonzalez ^{[2
]}

机构：

[1] Univ Vigo, Dept Matemat, Fac Ciencias Econ Empresariais, Campus Univ Lagoas Marcosende, Vigo 36280, Spain

[2] Univ Vigo, Dept Matemat Aplicada 2, Escola Enxenari Telecomunicac, Campus Univ Lagoas Marcosende, Vigo 36280, Spain

来源：

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2023年 / 150卷

关键词：

Monoidal category; weak Hopf monoid; Yetter-Drinfeld module; Long dimodule; HOPF-ALGEBRAS; REPRESENTATIONS;

D O I：

10.4171/RSMUP/125

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

- In this paper, for two weak Hopf monoids H and B with invertible antipode, we define a functor between the category of left-left H (R) B-Yetter-Drinfeld modules and the category of H -B-Long dimodules. We also show that, if moreover H is quasitriangular and B is coquasitriangular, this functor is a retraction of the well-known injective functor between left-left H -B-Long dimodules and left-left H (R) B-Yetter-Drinfeld modules.

引用

页码：247 / 266

页数：20

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