Theta Functions Associated with the Affine Root Systems and the Elliptic Ruijsenaars Operators
Quantum Algebra
2009-09-25 v1
Abstract
We study a family of mutually commutative difference operators associated with the affine root systems. These operators act on the space of meromorphic functions on the Cartan subalgebra of the affine Lie algebra. We show that the space spanned by the characters of a fixed positive level is invariant under the action of these operators.
Cite
@article{arxiv.math/9910003,
title = {Theta Functions Associated with the Affine Root Systems and the Elliptic Ruijsenaars Operators},
author = {Yasushi Komori},
journal= {arXiv preprint arXiv:math/9910003},
year = {2009}
}
Comments
27 pages, LaTeX