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arxiv: 0710.2918 · v2 · submitted 2007-10-15 · 🧮 math.QA · math.RA· math.RT

Twisted Yangians and finite W-algebras

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keywords finitew-algebrasgeneratorstwistedyangiansalgebrasassociatedblocks
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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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