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.
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| Main Author: | |
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| Format: | article biblioteca |
| Language: | eng |
| Published: |
2014
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| Subjects: | Brauer-Picard group, Tensor category, Module category, |
| Online Access: | http://hdl.handle.net/11086/19337 |
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