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The Second Cohomology of Simple<i>SL</i><sub>3</sub>-Modules

The Second Cohomology of Simple<i>SL</i><sub>3</sub>-Modules

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 …