The Brauer group of modified supergroup algebras

Details The Brauer group of modified supergroup algebras The Brauer group of modified supergroup algebras

2005-07-06

arxiv.org/abs/math/0507125v1

Mathematics

Representation Theory

47 pages, submitted

Scientific paper

The computation of the Brauer group BM of modified supergroup algebras is perfomed, yielding, in particular, the computation of the Brauer group of all finite-dimensional triangular Hopf algebras when the base field is algebraically closed and of characteristic zero. The results are compared with the computation of lazy cohomology and with Yinhuo Zhang's exact sequence. As an example, we compute explicitely the Brauer group and lazy cohomology for modified supergroup algebras with (extensions of) Weyl groups of irreducible root systems as a group datum and their standard representation as a representation datum.

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