INVESTIGADORES
MOMBELLI Juan Martin
artículos
Título:
The character algebra for module categories over Hopf algebras
Autor/es:
NOELIA BORTOLUSSI; MARTIN MOMBELLI
Revista:
COLLOQUIUM MATHEMATICUM
Editorial:
Polish acamdemy of sciences
Referencias:
Año: 2021 vol. 165 p. 171 - 198
ISSN:
0010-1354
Resumen:
Given a finite-dimensional Hopf algebra H and an exact indecomposable module category M over Rep(H), we explicitly compute the adjoint algebra AM as an object in the category of Yetter?Drinfeld modules over H, and the space of class functions CF(M) associated to M, as introduced by K. Shimizu (2020). We use our construction to describe these algebras when H is a group algebra and a dual group algebra. This result allows us to compute the adjoint algebra for certain group-theoretical fusion categories.
