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Title: Deformed Poisson W-algebras of type A
Author: Walker, Lachlan Duncan
ISNI:       0000 0004 7658 8533
Awarding Body: University of Aberdeen
Current Institution: University of Aberdeen
Date of Award: 2018
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For the algebraic group SLl+1(C) we describe a system of positive roots associated to conjugacy classes in its Weyl group Sl+1. Using this we explicitly describe the algebra of regular functions on certain transverse slices to conjugacy classes in SLl+1(C) as a polynomial algebra of invariants. These may be viewed as an algebraic group analogue of certain parabolic invariants that generate the W-algebra in type A found by Brundan and Kleshchev.
Supervisor: Sevastyanov, Alexey Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Von Neumann algebras ; Poisson algebras