Separation of variables for symplectic characters
Mathematical Physics
2011-07-26 v1 High Energy Physics - Theory
Combinatorics
math.MP
Representation Theory
Abstract
We perform separation of variables for the symplectic Weyl character using Sklyanin's scheme. Viewing the characters as eigenfunctions of a quantum integrable system, we explicitly construct the separating operator using the Q-operator method. We also construct the inverse of the separating operator, as well as the factorised Hamiltonian.
Cite
@article{arxiv.1009.2831,
title = {Separation of variables for symplectic characters},
author = {Jan de Gier and Anita Ponsaing},
journal= {arXiv preprint arXiv:1009.2831},
year = {2011}
}
Comments
21 pages