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arXiv:0907.4626 [math.RT]AbstractReferencesReviewsResources

The second cohomology of simple SL_3-modules

David I. Stewart

Published 2009-07-27, updated 2018-11-01Version 3

Let G be the simple, simply connected algebraic group SL_3 defined over an algebraically closed field K of characteristic p>0. In this paper, we find H^2(G,V) for any irreducible G-module V. When p>7 we also find H^2(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.

Comments: 19 pages; v3 updated from the published version in Comm. Alg with a small correction to the main result. See within for details
Categories: math.RT
Subjects: 20G10, 20G30
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