Verma modules for Yangians
Quantum Algebra
2009-11-11 v1 Representation Theory
Abstract
We study the Verma modules M(mu(u)) over the Yangian Y(a) associated with a simple Lie algebra a. We give necessary and sufficient conditions for irreducibility of M(mu(u)). Moreover, regarding the simple quotient L(mu(u)) of M(mu(u)) as an a-module, we give necessary and sufficient conditions for finite-dimensionality of the weight subspaces of L(mu(u)).
Cite
@article{arxiv.math/0508143,
title = {Verma modules for Yangians},
author = {Y. Billig and V. Futorny and A. Molev},
journal= {arXiv preprint arXiv:math/0508143},
year = {2009}
}
Comments
18 pages