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Cohomology of Infinitesimal Quantum Algebras

✍ Scribed by Masaharu Kaneda

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
346 KB
Volume
226
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let ᑡ be a simply connected simple ‫ކ‬ -group, let ᑜ be a Borel p ؒ Ž . subgroup of ᑡ, and let H ᑡrᑜ, ? be the right-derived functors of the induction from the category of ᑜ-modules to the category of ᑡ-modules. Let ᑠ ᒏ: ᑡ ª ᑡ Ž1. be the Frobenius morphism and define the functors

H ᑡ rᑜ , ? likewise. If M is a ᑜ -module, one has, due indepenw x w x dently to Andersen A80 and Haboush H , an isomorphism of ᑡ-ؒ Ž ᑠ ᒏ

. ᑠ ᒏ ؒ Ž Ž1.

Ž 1.

.

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