Finite W-algebras of classical type
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Date
2009-06
Authors
Brown, Jonathan, 1975-
Journal Title
Journal ISSN
Volume Title
Publisher
University of Oregon
Abstract
In this work we prove that the finite W -algebras associated to nilpotent elements in the symplectic or orthogonal Lie algebras whose Jordan blocks are all the same size are quotients of twisted Yangians. We use this to classify the finite dimensional irreducible representations of these finite W -algebras.
Description
ix, 114 p. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.
Keywords
Finite W-algebras, Nilpotent, Symplectic, Quantum algebra, Mathematics, W-algebras