Frobenius algebras of corepresentations: gradings
Sorin Dascalescu, Constantin Nastasescu, Laura Nastasescu
TL;DR
This paper explores Frobenius algebras within the category of right comodules over a Hopf algebra, focusing on graded Frobenius and symmetric structures, especially when the Hopf algebra is a group algebra.
Contribution
It introduces a generalized Frobenius property for comodules over group Hopf algebras and characterizes graded Frobenius and symmetric algebras in this context.
Findings
Characterization of graded Frobenius algebras
Analysis of graded symmetric algebras
Extension of Frobenius properties to group Hopf algebra comodules
Abstract
We consider Frobenius algebras in the monoidal category of right comodules over a Hopf algebra . If is a group Hopf algebra, we study a more general Frobenius type property and uncover the structure of graded Frobenius algebras. Graded symmetric algebras are also investigated.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology