Parabolic presentations of the Yangian Y(gl_n)
Quantum Algebra
2009-11-10 v2 Representation Theory
Abstract
We derive some new presentations for the Yangian associated to the Lie algebra gl_n(C) that are adapted to parabolic subalgebras. At one extreme, the presentation is just the usual RTT presentation, whilst at the other extreme it is a variation on Drinfeld's presentation. All these presentations play an important role in our subsequent article "Shifted Yangians and finite W-algebras".
Cite
@article{arxiv.math/0407011,
title = {Parabolic presentations of the Yangian Y(gl_n)},
author = {Jonathan Brundan and Alexander Kleshchev},
journal= {arXiv preprint arXiv:math/0407011},
year = {2009}
}
Comments
Minor corrections, some references added. To appear in Commun. Math. Phys