BECAS
BORTOLUSSI Noelia BelÉn
artículos
Título:
The character algebra for module categories over hopf algebras
Autor/es:
BORTOLUSSI, NOELIA; MOMBELLI, MARTÍN
Revista:
COLLOQUIUM MATHEMATICUM
Editorial:
Institute of Mathematics. Polish Academy of Sciences
Referencias:
Año: 2021 vol. 165 p. 171 - 197
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 A_M 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.
