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Second cohomology groups for Frobenius kernels and related structures
- Source :
-
Advances in Mathematics . Feb2007, Vol. 209 Issue 1, p162-197. 36p. - Publication Year :
- 2007
-
Abstract
- Abstract: Let G be a simple simply connected affine algebraic group over an algebraically closed field k of characteristic p for an odd prime p. Let B be a Borel subgroup of G and U be its unipotent radical. In this paper, we determine the second cohomology groups of B and its Frobenius kernels for all simple B-modules. We also consider the standard induced modules obtained by inducing a simple B-module to G and compute all second cohomology groups of the Frobenius kernels of G for these induced modules. Also included is a calculation of the second ordinary Lie algebra cohomology group of Lie(U) with coefficients in k. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*LINEAR algebra
*ALGEBRA
*MATHEMATICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 209
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 23161359
- Full Text :
- https://doi.org/10.1016/j.aim.2006.05.001