RTT presentation of finite W-algebras
Quantum Algebra
2008-11-26 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0005111,
title = {RTT presentation of finite W-algebras},
author = {C. Briot and E. Ragoucy},
journal= {arXiv preprint arXiv:math/0005111},
year = {2008}
}
Comments
31 pages Part on representations corrected and completed; misprints corrected