Ryan Skip Garibaldi

Affiliation: Emory University

Email: skip@mathcs.emory.edu

Title Of Talk: Vanishing of trace forms on Lie algebras

URL: http://arxiv.org/abs/0712.3764

Abstract: Every representation of an algebraic group G induces a symmetric bilinear form on the Lie algebra Lie(G) called a trace bilinear form. Several theorems regarding such groups G over a field include the hypothesis that there is some representation whose trace bilinear form is nondegenerate. We settle the question of existence of such a representation by reducing it to a problem about representations of G defined over the integers and symmetric bilinear forms on integral lattices.

Last update made Mon Feb 16 21:39:31 EST 2009.
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