Symmetric algebras in categories of corepresentations and smash products

JOURNAL OF ALGEBRA

卷:465

Article

Dascalescu, S.^1,2  Nastasescu, C.^1,3  Nastasescu, L.^1,3 

[1] Univ Bucharest, Fac Math & Comp Sci, Str Acad 14, RO-010014 Bucharest 1, Romania

[2] Univ Bucharest, ICUB, RO-010014 Bucharest 1, Romania

[3] Romanian Acad, Inst Math, POB 1-764, RO-014700 Bucharest, Romania

关键词: Hopf algebra;    Comodule;    Monoidal category;    Frobenius algebra;    Symmetric algebra;    Smash product;   

DOI  :  10.1016/j.jalgebra.2016.07.012

来源: Elsevier

【 摘 要 】

We investigate Frobenius algebras and symmetric algebras in the monoidal category of right comodules over a Hopf algebra H; for the symmetric property H is assumed to be cosovereign. If H is finite dimensional and A is an H-comodule algebra, we uncover the connection between A and the smash product A#H* with respect to the Frobenius and symmetric properties. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free