Geometric induction for algebraic supergroups

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• Serganova, V (UC at Berkeley)
• Friday 27 March 2009, 15:30-16:30
• Seminar Room 1, Newton Institute.

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 H-modules to the category of G-modules. 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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