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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.

Details

Title
Finite W-algebras of classical type
Author
Brown, Jonathan
Year
2009
Publisher
ProQuest Dissertations Publishing
ISBN
978-1-109-37845-0
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
304979447
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.