Stabilisation of the LHS spectral sequence for algebraic groups

Alison E. Parker; David I. Stewart

Stabilisation of the LHS spectral sequence for algebraic groups

Pure Mathematics

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Abstract

In this note, we consider the Lyndon-Hochschild-Serre spectral sequence corresponding to the first Frobenius kernel of an algebraic group G and computing the extensions between simple G-modules. We state and discuss a conjecture that E₂ = E and provide general conditions for low-dimensional terms on the E₂-page to be the same as the corresponding terms on the E_∞-page, i.e. its abutment.

Original language	English
Pages (from-to)	807-813
Number of pages	7
Journal	Journal of Lie Theory
Volume	25
Issue number	3
Publication status	Published - 2015

Keywords

Cohomology of simple modules
Lyndon-Hochschild-Serre spectral sequence
Positive characteristic
Reductive algebraic groups

Cite this

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AU - Stewart, David I.

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KW - Cohomology of simple modules

KW - Lyndon-Hochschild-Serre spectral sequence

KW - Positive characteristic

KW - Reductive algebraic groups

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Stabilisation of the LHS spectral sequence for algebraic groups

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