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Title: Reductive pairs arising from representations
Author: Goodbourn, Oliver
ISNI:       0000 0004 5356 8919
Awarding Body: University of York
Current Institution: University of York
Date of Award: 2014
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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.
Supervisor: Bate, Michael Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available