RTT presentation of finite W-algebras

Details RTT presentation of finite W-algebras RTT presentation of finite W-algebras

2000-05-11

arxiv.org/abs/math/0005111v2

J.Phys.A34:7287-7310,2001

Mathematics

Quantum Algebra

31 pages Part on representations corrected and completed; misprints corrected

Scientific paper

10.1088/0305-4470/34/36/310

We construct a wide class of finite W-algebras as truncations of Yangians.
These truncations correspond to algebra homomorphisms and allow to construct
the W-algebras as exchange algebras, the R-matrix being the Yangian's one.
As an application, we classify all irreducible finite dimensionnal
representations of these W-algebras and determine their center.

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