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Reductive pairs arising from representations

Goodbourn, Oliver (2014) Reductive pairs arising from representations. PhD thesis, University of York.

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We study the question of when a given rational representation of a reductive group G gives rise to a reductive pair (GL(V ), ρ(G)), presenting complete classifications when ρ is the representation afforded by a simple module for the group SL2 (K), or a symmetric power of the natural module (the induced or dual Weyl modules for this group), where K is an algebraically closed field of any positive characteristic. We also present several classes of examples for the group SL3 (K) in some small characteristics, along with results allowing new examples to be generated.

Item Type: Thesis (PhD)
Keywords: Representation theory of algebraic groups, reductive pairs
Academic Units: The University of York > Mathematics (York)
Identification Number/EthosID: uk.bl.ethos.631484
Depositing User: Mr. Oliver Goodbourn
Date Deposited: 02 Dec 2014 12:49
Last Modified: 08 Sep 2016 13:31
URI: http://etheses.whiterose.ac.uk/id/eprint/7400

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