- le - Vieux de Physique Théorique RTT presentation of finite W - algebras

Abstract

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. 

Topics

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Cite this paper

@inproceedings{BriotL, title={- le - Vieux de Physique Th{\'e}orique RTT presentation of finite W - algebras}, author={Christophe Briot and {\'E}ric Ragoucy} }