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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10650| Title: | Stiefel–Whitney Classes for finite symplectic groups |
| Authors: | Malik, Neha SPALLONE, STEVEN Dept. of Mathematics |
| Keywords: | Stiefel–Whitney Classes Symplectic groups Finite groups of Lie type Weil representations 2026-JAN-WEEK1 TOC-JAN-2026 2026 |
| Issue Date: | Jan-2026 |
| Publisher: | World Scientific |
| Citation: | International Journal of Mathematics |
| Abstract: | Let 𝑞 be an odd prime power, and 𝐺=Sp(2𝑛,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). |
| URI: | https://doi.org/10.1142/S0129167X26500199 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10650 |
| ISSN: | 0129-167X 1793-6519 |
| Appears in Collections: | JOURNAL ARTICLES |
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