The Brauer-Picard group of the representation category of finite supergroup algebras
We develop further the techniques presented in a previous article (M. Mombelli. Abh. Math. Semin. Univ. Hamb. 82 (2012), 173–192), to study bimodule categories over the representation categories of arbitrary finite-dimensional Hopf algebras. We compute the Brauer-Picard group of equivalence classes of exact invertible bimodule categories over the representation categories of a certain large family of pointed non-semisimple Hopf algebras, the so called supergroup algebras (N. Andruskiewitsch, P. Etingof and S. Gelaki. Michigan Math. J. 49 (2001), 277–298). To obtain this result we first give a classification of equivalence classes of exact indecomposable bimodule categories over such Hopf algebras.
Saved in:
Main Author: | Mombelli, Juan Martín |
---|---|
Format: | article biblioteca |
Language: | eng |
Published: |
2014
|
Subjects: | Brauer-Picard group, Tensor category, Module category, |
Online Access: | http://hdl.handle.net/11086/19337 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Invertible bimodule categories over the representation category of a Hopf algebra
by: Femić, Bojana, et al.
Published: (2014-02-12) -
Crossed extensions of the corepresentation category of finite supergroup algebras
by: Mejía Castaño, Adriana, et al. -
Aportes a la clasificación de álgebras de Hopf punteadas de dimensión de Gelfand-Kirillov finita
by: Sanmarco, Guillermo Luis
Published: (2020) -
Algebras de Hopf punteadas sobre los grupos simétricos S3 y S4
by: García Iglesias, Agustín
Published: (2010) -
Classification of integral modular categories of Frobenius–Perron dimension pq4 and p2q2
by: Bruillard, Paul, et al.
Published: (2014)