Twisted Yangians and folded W-algebras

Abstract

We show that the truncation of twisted Yangians are isomorphic to finite W-algebras based on orthogonal or symplectic algebras. This isomorphism allows us to classify all the finite dimensional irreducible representations of the quoted W-algebras. We also give an R-matrix for these W-algebras, and determine their center.

LaTeX 2e Document, 22 pages

Cited by in corpus (12)

• Representations of reflection algebras
• On reflection algebras and twisted Yangians
• The $R$-matrix presentation for the Yangian of a simple Lie algebra
• W-superalgebras as truncation of super-Yangians
• Screening operators and Parabolic inductions for Affine W-algebras (with an appendix by Shigenori Nakatsuka)
• Truncation of the reflection algebra and the Hahn algebra
• More on Affine Dynkin Quiver Yangians
• Twisted superYangians and their representations
• Dirac reductions and Classical W-algebras
• A Drinfeld type presentation of twisted Yangians
• Twisted Yangians and finite W-algebras
• Representations of twisted q-Yangians