Orthogonal representations of twisted forms of SL2

Details Orthogonal representations of twisted forms of SL2 Orthogonal representations of twisted forms of SL2

2007-02-24

arxiv.org/abs/math/0702731v3

Representation Theory 12 (2008), 435-446

Mathematics

Representation Theory

Supporting contextual material is substantially revised since v2; proofs of the main results remain the same. For possible new

Scientific paper

10.1090/S1088-4165-08-00335-X

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 invariant under the group action. We also prove the analogous result for Weyl modules in prime characteristic (including characteristic 2) and an isomorphism between two symmetric bilinear forms given by binomial coefficients.

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