Frobenius algebras of corepresentations and group-graded vector spaces

Frobenius algebras of corepresentations and group-graded vector spaces
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DOI:
10.1016/j.jalgebra.2014.02.020
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发表时间:
2014-05
期刊:
影响因子:
0.9
通讯作者:
S. Dascalescu;C. Nastasescu;L. Nastasescu
S. Dascalescu;C. Nastasescu;L. Nastasescu
中科院分区:
数学3区
文献类型:
--
作者:
S. Dascalescu;C. Nastasescu;L. Nastasescu

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本文研究了Hopf代数H上右余模么半群范畴中的Frobenius代数。如果是群Hopf代数,我们研究了更一般的Frobenius型性质,揭示了分次Frobenius代数的结构,并研究了分次对称代数。分次Frobenius概念与Frobenius函子有关。
We consider Frobenius algebras in the monoidal category of right comodules over a Hopf algebraH. IfHis 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.