The second cohomology of small irreducible modules for simple algebraic groups
| dc.creator | McNinch, George J. | |
| dc.date | 2000-06-14 | |
| dc.date | 2000-12-05 | |
| dc.date.accessioned | 2026-07-07T04:35:53Z | |
| dc.date.available | 2026-07-07T04:35:53Z | |
| dc.description | Let G be a simple, simply connected and connected algebraic group over an algebraically closed field of characteristic p>0, and let V be a rational G-module such that dim V <= p. According to a result of Jantzen, V is completely reducible, and H^1(G,V)=0. In this paper we show that H^2(G,V) = 0 unless some composition factor of V is a non-trivial Frobenius twist of the adjoint representation of G. | |
| dc.description | 11 pages; includes now a simplified proof, that was pointed out to the Author, of the main result in the case where Lie(G) acts non-trivially | |
| dc.identifier | https://arxiv.org/abs/math/0006105 | |
| dc.identifier | http://arxiv.org/abs/math/0006105 | |
| dc.identifier | Pacific J. of Math. 204, 2002, pp. 459--472 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59410 | |
| dc.subject | Representation Theory | |
| dc.title | The second cohomology of small irreducible modules for simple algebraic groups | |
| dc.type | text |