Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7384
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
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