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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.19241 |
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| _version_ | 1866909529552191488 |
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| author | Malik, Neha Spallone, Steven |
| author_facet | Malik, Neha Spallone, Steven |
| contents | We compute the total Stiefel-Whitney Classes (SWCs) for orthogonal representations of special linear groups $\text{SL}(n,q)$ when $n$ and $q$ are odd. These classes are expressed in terms of character values at diagonal elements of order $2$. We give several consequences, and work out the $4$th SWC explicitly, and the $8$th SWC when the $4$th vanishes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19241 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stiefel-Whitney Classes for Finite Special Linear Groups of Even Rank Malik, Neha Spallone, Steven Representation Theory 20G40, 55R40 We compute the total Stiefel-Whitney Classes (SWCs) for orthogonal representations of special linear groups $\text{SL}(n,q)$ when $n$ and $q$ are odd. These classes are expressed in terms of character values at diagonal elements of order $2$. We give several consequences, and work out the $4$th SWC explicitly, and the $8$th SWC when the $4$th vanishes. |
| title | Stiefel-Whitney Classes for Finite Special Linear Groups of Even Rank |
| topic | Representation Theory 20G40, 55R40 |
| url | https://arxiv.org/abs/2406.19241 |