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arxiv: 0907.4626 · v3 · pith:EYJJCTCUnew · submitted 2009-07-27 · 🧮 math.RT

The second cohomology of simple SL₃-modules

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keywords findirreduciblesimplealgebraicalgebraicallycharacteristicchevalleyclosed
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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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