Geometric induction for algebraic supergroups
1 hour 3 mins 37 secs,
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About this item
| Description: |
Serganova, V (UC at Berkeley)
Friday 27 March 2009, 15:30-16:30 |
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| Created: | 2011-05-24 15:24 | ||
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| Collection: | Algebraic Lie Theory | ||
| Publisher: | Isaac Newton Institute for Mathematical Sciences | ||
| Copyright: | Serganova, V | ||
| Language: | eng (English) | ||
| Credits: |
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| Abstract: | 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(m,2n) and use this result to find the characters of all irreducible representations of G.
A seminar from the Algebraic Lie Structures with Origins in Physics Workshop www.newton.ac.uk/programmes/ALT/seminars/ |
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