Cohomology of reductive modular Lie algebras

LI Yi-yang

Issue 5

Nov. 2011

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LI Yi-yang. Cohomology of reductive modular Lie algebras[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 115-120,132.

Citation:

LI Yi-yang. Cohomology of reductive modular Lie algebras[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 115-120,132.

LI Yi-yang. Cohomology of reductive modular Lie algebras[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 115-120,132.

Citation:

LI Yi-yang. Cohomology of reductive modular Lie algebras[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 115-120,132.

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Cohomology of reductive modular Lie algebras

LI Yi-yang

1.
School of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, China

Received Date: 2011-01-01
Rev Recd Date: 2011-04-01
Publish Date: 2011-09-25

Abstract

Abstract

Let $G$ be a connected reductive algebraic group over an algebraically closed field $k$ of prime characteristic $p$, and $\mathfrak{g}=\mathrm{Lie}(G)$. This paper studied the cohomology of the reductive Lie algebra $\mathfrak{g}$ with $p$-character $\chi$ of standard Levi form. When the highest weight of baby Verma module is $p$-regular, the necessary and sufficient condition for the Ext groups between baby Verma module and twist baby Verma module being non-split was gotten.
- standard Levi-form,
- baby Verma modules,
- cohomology

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References(1)

References

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