Stiefel–Whitney Classes for finite symplectic groups

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dc.contributor.authorMalik, Nehaen_US
dc.contributor.authorSPALLONE, STEVENen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2026-01-30T06:34:33Z
dc.date.available2026-01-30T06:34:33Z
dc.date.issued2026-01en_US
dc.description.abstractLet 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.identifier.citationInternational Journal of Mathematicsen_US
dc.identifier.issn0129-167Xen_US
dc.identifier.issn1793-6519en_US
dc.identifier.sourcetitleInternational Journal of Mathematicsen_US
dc.identifier.urihttps://doi.org/10.1142/S0129167X26500199
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10650
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherWorld Scientificen_US
dc.subjectStiefel–Whitney Classesen_US
dc.subjectSymplectic groupsen_US
dc.subjectFinite groups of Lie typeen_US
dc.subjectWeil representationsen_US
dc.subject2026-JAN-WEEK1en_US
dc.subjectTOC-JAN-2026en_US
dc.subject2026en_US
dc.titleStiefel–Whitney Classes for finite symplectic groupsen_US
dc.typeArticleen_US

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