Difference L operators related to q-characters
Quantum Algebra
2008-11-26 v1 High Energy Physics - Theory
Representation Theory
Exactly Solvable and Integrable Systems
Abstract
We introduce a factorized difference operator L(u) annihilated by the Frenkel-Reshetikhin screening operator for the quantum affine algebra U_q(C^{(1)}_n). We identify the coefficients of L(u) with the fundamental q-characters, and establish a number of formulas for their higher analogues. They include Jacobi-Trudi and Weyl type formulas, canceling tableau sums, Casorati determinant solution to the T-system, and so forth. Analogous operators for the orthogonal series U_q(B^{(1)}_n) and U_q(D^{(1)}_n) are also presented.
Cite
@article{arxiv.math/0109140,
title = {Difference L operators related to q-characters},
author = {A. Kuniba and M. Okado and J. Suzuki and Y. Yamada},
journal= {arXiv preprint arXiv:math/0109140},
year = {2008}
}
Comments
25 pages, LaTeX2e, no figure