RTT presentation of finite W-algebras
Abstract
Description
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.
31 pages Part on representations corrected and completed; misprints corrected
31 pages Part on representations corrected and completed; misprints corrected