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Twisted Yangians and Finite W-Algebras

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Abstract

We construct an explicit set of generators for the finite W-algebras associated to nilpotent matrices in the symplectic or orthogonal Lie algebras whose Jordan blocks are all of the same size. We use these generators to show that such finite W-algebras are quotients of twisted Yangians.

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Authors and Affiliations

  1. Department of Mathematics, University of Oregon, Eugene, OR, 97403, USA

    Jonathan Brown

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  1. Jonathan Brown
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Correspondence to Jonathan Brown.

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Brown, J. Twisted Yangians and Finite W-Algebras. Transformation Groups 14, 87–114 (2009). https://doi.org/10.1007/s00031-008-9041-x

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  • DOI: https://doi.org/10.1007/s00031-008-9041-x

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