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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Orthogonal representations of twisted forms of $\operatorname {SL}_2$
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by Skip Garibaldi PDF
Represent. Theory 12 (2008), 435-446 Request permission


For every absolutely irreducible orthogonal representation of a twisted form of $\operatorname {SL}_2$ 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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Additional Information
  • Skip Garibaldi
  • Affiliation: Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322
  • MR Author ID: 622970
  • ORCID: 0000-0001-8924-5933
  • Email:
  • Received by editor(s): November 6, 2007
  • Received by editor(s) in revised form: August 4, 2008
  • Published electronically: December 8, 2008
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 12 (2008), 435-446
  • MSC (2000): Primary 20G05; Secondary 11E04, 11E76, 20G15
  • DOI:
  • MathSciNet review: 2465801