Stiefel Whitney classes for real representations of GL2(𝔽q)

DOI10.1142/S0129167X22500100MaRDI QIDQ5061464

Jyotirmoy Ganguly, Rohit Joshi

Publication date: 11 March 2022

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

Full work available at URL: https://arxiv.org/abs/2011.13245

zbMATH Keywords

real representationgroup cohomologyStiefel Whitney classobstruction class

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (2)

Total Stiefel Whitney classes for real representations of \(\mathrm{GL}_n\) over \(\mathbb{F}_q\), \(\mathbb{R}\) and \(\mathbb{C}\) ⋮ Stiefel-Whitney classes of representations of \(\mathrm{SL}(2,q)\)

Cites Work

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• 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
• On the cohomology and K-theory of the general linear groups over a finite field
• Group Cohomology and Algebraic Cycles
• Binomial Coefficients Modulo a Prime
• Characteristic classes

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