Twisted Yangians and finite W-algebras

Details Twisted Yangians and finite W-algebras Twisted Yangians and finite W-algebras

2007-10-15

arxiv.org/abs/0710.2918v2

Mathematics

Quantum Algebra

Final version to appear in Transformation Groups

Scientific paper

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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