Geometric induction for algebraic supergroups
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If you have a question about this talk, please contact Mustapha Amrani.
Algebraic Lie Theory
Let G be a classical algebraic supergroup, and H be its subgroup. The geometric induction functor is the derived functor from the category of Hmodules to the category of Gmodules. It is defined as the cohomology of vector bundles on G/H. We study this functor in detail in case when H is a parabolic subgroup and G=SL(m,n) or OSP and use this result to find the characters of all irreducible representations of G.
This talk is part of the Isaac Newton Institute Seminar Series series.
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