Total Stiefel Whitney classes for real representations of \(\mathrm{GL}_n\) over \(\mathbb{F}_q\), \(\mathbb{R}\) and \(\mathbb{C}\)

DOI10.1007/s40687-022-00356-wzbMath1530.20156arXiv2203.01280OpenAlexW4362475038MaRDI QIDQ6042363

Jyotirmoy Ganguly, Rohit Joshi

Publication date: 10 May 2023

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.01280

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (1)

Stiefel-Whitney classes of representations of \(\mathrm{SL}(2,q)\)

Cites Work

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• Decomposition theorem for homology groups of symmetric groups
• Homology of classical groups over finite fields and their associated infinite loop spaces
• Stiefel-Whitney classes of real representations of finite groups
• Spinoriality of orthogonal representations of \(\operatorname{GL}_n( \mathbb{F}_q)\)
• Spinorial representations of symmetric groups
• Stiefel Whitney classes for real representations of GL2(𝔽q)
• Supercharacters and superclasses for algebra groups
• Spinorial Representations of Orthogonal Groups

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