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The second cohomology
of small irreducible modules for simple algebraic groups
George J. McNinch |
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Vol. 204 (2002), No. 2, 459–472
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Abstract |
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Let G be a connected, simply connected, quasisimple algebraic group over an algebraically closed field of characteristic p > 0, and let V be a rational G-module such that dimV ≤ p. According to a result of Jantzen, V is completely reducible, and H1(G,V ) = 0. In this paper we show that H2(G,V ) = 0 unless some composition factor of V is a nontrivial Frobenius twist of the adjoint representation of G. |
Milestones
Received: 26 October 2000
Published: 1 June 2002
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Authors |
| George J. McNinch | |
| Department of Mathematics University of Notre Dame Notre Dame, IN 46556 |
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