Total Stiefel Whitney classes for real representations of \(\mathrm{GL}_n\) over \(\mathbb{F}_q\), \(\mathbb{R}\) and \(\mathbb{C}\)
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Publication:6042363
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
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)
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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
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- 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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