Pfaffian and Determinant Solutions to A Discretized Toda Equation for $B_r, C_r$ and $D_r$
High Energy Physics - Theory
2008-11-26 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
We consider a class of 2 dimensional Toda equations on discrete space-time. It has arisen as functional relations in commuting family of transfer matrices in solvable lattice models associated with any classical simple Lie algebra . For and , we present the solution in terms of Pfaffians and determinants. They may be viewed as Yangian analogues of the classical Jacobi-Trudi formula on Schur functions.
Keywords
Cite
@article{arxiv.hep-th/9509039,
title = {Pfaffian and Determinant Solutions to A Discretized Toda Equation for $B_r, C_r$ and $D_r$},
author = {Atsuo Kuniba and Shuichi Nakamura and Ryogo Hirota},
journal= {arXiv preprint arXiv:hep-th/9509039},
year = {2008}
}
Comments
Plain Tex, 9 pages