Frobenius algebras of corepresentations and group-graded vector spaces

JOURNAL OF ALGEBRA

卷:406

Article

Dascalescu, S.¹  Nastasescu, C.¹  Nastasescu, L.¹ 

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

关键词: Hopf algebra;    Comodule;    Monoidal category;    Frobenius algebra;    Graded algebra;    Symmetric algebra;    Graded division algebra;    Frobenius functor;   

DOI  :  10.1016/j.jalgebra.2014.02.020

来源: Elsevier

【 摘 要 】

We consider Frobenius algebras in the monoidal category of right comodules over a Hopf algebra H. If H is a group Hopf algebra, we study a more general Frobenius type property, uncover the structure of graded Frobenius algebras, and investigate graded symmetric algebras. The graded Frobenius concept is related to Frobenius functors. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free