Twisted Yangians and finite W-algebras

2007/10/15 by Jonathan Brown, Brown, Jonathan · 2 citations
Computer Science · Mathematics · #81R10 #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.0710.2918

openalex publication_date 2007/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Suggestion of a definition of the twisted affine Yangian of type D
• New presentation of the twisted Yangian of type D

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