Spinoriality of orthogonal representations of reductive groups

DOI10.1090/ert/552OpenAlexW3098778505MaRDI QIDQ5124560

Rohit Joshi, Steven Spallone

Publication date: 29 September 2020

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06232

zbMATH Keywords

reductive groupsDynkin indexorthogonal representationsWeyl dimension formulalifting criterion

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Semisimple Lie groups and their representations (22E46)

Related Items (3)

Spinorial Representations of Orthogonal Groups ⋮ Lifting representations of finite reductive groups. II: Explicit conorms ⋮ Spinoriality of orthogonal representations of \(\operatorname{GL}_n( \mathbb{F}_q)\)

Cites Work

• Notes on Lie algebras.
• On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents
• Lifting orthogonal representations to spin groups and local root numbers
• An Introduction to Lie Groups and Lie Algebras
• Symmetry, Representations, and Invariants
• Linear algebraic groups.
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