The second cohomology of simple SL_3-modules

Details The second cohomology of simple SL_3-modules The second cohomology of simple SL_3-modules

2009-07-27

arxiv.org/abs/0907.4626v2

Mathematics

Representation Theory

19 pages; v2 also contains information for the finite groups SL(3,q); to appear in Comm. Alg

Scientific paper

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.

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