Twisted Yangians and folded W-algebras

Details Twisted Yangians and folded W-algebras Twisted Yangians and folded W-algebras

2000-12-19

arxiv.org/abs/math/0012182v1

Int. Journ. Mod. Phys. A16 (2001) 2411

Mathematics

Quantum Algebra

LaTeX 2e Document, 22 pages

Scientific paper

10.1142/S0217751X01004141

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.

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