The second cohomology of simple SL 3-modules

David I. Stewart

doi:10.1080/00927872.2011.618858

The second cohomology of simple SL ₃-modules

David I. Stewart

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let G be the simple, simply connected algebraic group SL₃ defined over an algebraically closed field K of characteristic p > 0. In this article, we find H²(G, V) for any irreducible G-module V. Whenp > 7, we also find H²(G(q), V) for any irreducible G(q)-module V for the finite Chevalley groups G(q) = SL(3, q) where q is a power of p.

Original language	English
Pages (from-to)	4702-4716
Number of pages	15
Journal	Communications in Algebra
Volume	40
Issue number	12
DOIs	https://doi.org/10.1080/00927872.2011.618858
Publication status	Published - 2012

Keywords

Algebraic groups
Cohomology
Finite groups of Lie type
Representation theory

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10.1080/00927872.2011.618858

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The second cohomology of simple SL ₃-modules

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Keywords

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