Finite W-algebras of classical type

dc.contributor.author	Brown, Jonathan, 1975-
dc.date.accessioned	2010-02-19T01:28:27Z
dc.date.available	2010-02-19T01:28:27Z
dc.date.issued	2009-06
dc.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.	en_US
dc.description.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.	en_US
dc.description.sponsorship	Committee in charge: Jonathan Brundan, Co-Chairperson, Mathematics; Victor Ostrik, Co-Chairperson, Mathematics; Arkady Berenstein, Member, Mathematics; Hal Sadofsky, Member, Mathematics; Christopher Wilson, Outside Member, Computer & Information Science	en_US
dc.identifier.uri	https://hdl.handle.net/1794/10201
dc.language.iso	en_US	en_US
dc.publisher	University of Oregon	en_US
dc.relation.ispartofseries	University of Oregon theses, Dept. of Mathematics, Ph. D., 2009;
dc.subject	Finite W-algebras	en_US
dc.subject	Nilpotent	en_US
dc.subject	Symplectic	en_US
dc.subject	Quantum algebra	en_US
dc.subject	Mathematics	en_US
dc.subject	W-algebras
dc.title	Finite W-algebras of classical type	en_US
dc.type	Thesis	en_US

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