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

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