Stiefel–Whitney Classes for finite symplectic groups

dc.contributor.author	Malik, Neha	en_US
dc.contributor.author	SPALLONE, STEVEN	en_US
dc.date.accessioned	2026-01-30T06:34:33Z
dc.date.available	2026-01-30T06:34:33Z
dc.date.issued	2026-01	en_US
dc.identifier.citation	International Journal of Mathematics	en_US
dc.identifier.issn	0129-167X	en_US
dc.identifier.issn	1793-6519	en_US
dc.identifier.uri	https://doi.org/10.1142/S0129167X26500199	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10650
dc.description.abstract	Let 𝑞 be an odd prime power, and 𝐺=Sp⁡(2⁢𝑛,𝑞) the finite symplectic group. We give an expression for the total Stiefel–Whitney Classes (SWCs) for orthogonal representations 𝜋 of 𝐺, in terms of character values of 𝜋 at elements of order 2. We give “universal formulas” for the fourth and eighth SWCs. For 𝑛=2, we compute the subring of the mod 2 cohomology generated by the SWCs 𝑤𝑘⁡(𝜋).	en_US
dc.language.iso	en	en_US
dc.publisher	World Scientific	en_US
dc.subject	Stiefel–Whitney Classes	en_US
dc.subject	Symplectic groups	en_US
dc.subject	Finite groups of Lie type	en_US
dc.subject	Weil representations	en_US
dc.subject	2026-JAN-WEEK1	en_US
dc.subject	TOC-JAN-2026	en_US
dc.subject	2026	en_US
dc.title	Stiefel–Whitney Classes for finite symplectic groups	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	International Journal of Mathematics	en_US
dc.publication.originofpublisher	Foreign	en_US