The Second Cohomology of Simple SL 3-Modules |
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Authors: | David I Stewart |
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Institution: | 1. New College , Oxford , England , UK dis20@cantab.net |
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Abstract: | Let G be the simple, simply connected algebraic group SL 3 defined over an algebraically closed field K of characteristic p > 0. In this article, 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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Keywords: | Algebraic groups Cohomology Finite groups of Lie type Representation theory |
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