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The Brauer-Picard group of the representation category of finite supergroup algebras
Brauer-Picard group tensor category module category Quantum Algebra
2012/2/29
We develop further the techniques presented in [M. Mombelli. On the tensor product of bimodule categories over Hopf algebras. Preprint arXiv:1111.1610 ] to study bimodule categories over the represent...
Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup Q(n)
projective representations symmetric groups lowering operators the supergroup Q(n)
2010/11/9
There are two approaches to projective representation theory of symmetric and alternating groups, which are powerful enough to work for modular representations. One is based on Sergeev duality, which...
Deformation Quantization for Heisenberg Supergroup
Deformation Quantization Heisenberg Supergroup
2010/11/17
We construct a non-formal deformation quantization of the Heisenberg supergroup. The deformed star product provides a Universal Deformation Formula, namely it deforms the algebras on which the Heisenb...