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Title: | Stiefel-Whitney Classes of Representations of Some Finite Groups of Lie Type |
Authors: | SPALLONE, STEVEN MALIK, NEHA Dept. of Mathematics 20152033 |
Keywords: | Algebraic Topology Representation Theory |
Issue Date: | Sep-2022 |
Citation: | 117 |
Abstract: | Orthogonal representations \pi of a finite group G have invariants w_i(\pi), living in the ith degree cohomology group H^i(G, Z/2Z), called Stiefel-Whitney Classes (SWCs). Their sum is known as the total SWC of \pi. There do not seem to have many explicit calculations in the literature of SWCs for the non-abelian groups. In this thesis we present the total SWCs for orthogonal representations of several finite groups of Lie type, namely symplectic groups Sp(2n,q) and special linear groups SL(2n+1,q) when q is odd. We also describe the SWCs for SL(2,q) for even q. |
URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7384 |
Appears in Collections: | PhD THESES |
Files in This Item:
File | Description | Size | Format | |
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20152033_Neha_Malik_PhD_Thesis.pdf | Ph.D Thesis | 992.91 kB | Adobe PDF | View/Open |
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