The Brauer-Picard group of the representation category of finite supergroup algebras

MARTIN MOMBELLI

REVISTA DE LA UNIóN MATEMáTICA ARGENTINA

UNION MATEMATICA ARGENTINA

Lugar: Bahia Blanca; Año: 2014 vol. 55 p. 83 - 117

0041-6932

We develop further the techniques presented in \cite{M3} 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 \emph{supergroup algebras} \cite{AEG}. To obtain this result we first give a classification of equivalence classes of exact indecomposable bimodule categories over such Hopf algebras.