Bilinear and Quadratic Forms on Rational Modules of Split Reductive Groups

DOI10.4153/CJM-2015-042-5zbMath1344.20065arXiv1501.07515OpenAlexW2239771954MaRDI QIDQ2798991

Daniel K. Nakano, Skip Garibaldi

Publication date: 7 April 2016

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07515

zbMATH Keywords

tilting modulescohomologyquadratic formsWeyl modulesbilinear formssymmetric tensorsirreducible modulesinduced modulescharacteristic 2orthogonal representationsalternating formssplit reductive groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Bilinear and Hermitian forms (11E39) Quadratic and bilinear forms, inner products (15A63) Cohomology theory for linear algebraic groups (20G10) Quadratic spaces; Clifford algebras (11E88)

Related Items (4)

Unipotent elements forcing irreducibility in linear algebraic groups ⋮ Globally irreducible Weyl modules ⋮ Invariant forms on irreducible modules of simple algebraic groups ⋮ Generic stabilizers for simple algebraic groups

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