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math.RT2007★ 2 cited
Vanishing of trace forms in low characteristics
Skip Garibaldi, Alexander Premet
Every finite-dimensional representation of an algebraic group G gives a trace symmetric bilinear form on the Lie algebra of G. We give criteria in terms of root system data for the…
math.RT2007★ 4 cited
Orthogonal representations of twisted forms of SL2
Skip Garibaldi
For every absolutely irreducible orthogonal representation of a twisted form of SL2 over a field of characteristic zero, we compute the "unique" symmetric bilinear form that is inv…