Higher Sugawara operators for the quantum affine algebras of type A
Quantum Algebra
2016-06-28 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
We give explicit formulas for the elements of the center of the completed quantum affine algebra in type at the critical level which are associated with the fundamental representations. We calculate the images of these elements under a Harish-Chandra-type homomorphism. These images coincide with those in the free field realization of the quantum affine algebra and reproduce generators of the -deformed classical -algebra of Frenkel and Reshetikhin.
Keywords
Cite
@article{arxiv.1505.03667,
title = {Higher Sugawara operators for the quantum affine algebras of type A},
author = {Luc Frappat and Naihuan Jing and Alexander Molev and Eric Ragoucy},
journal= {arXiv preprint arXiv:1505.03667},
year = {2016}
}
Comments
32 pages