1995/09/08 by Atsuo Kuniba, Shuichi Nakamura, Ryogo Hirota
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Class (philosophy) #Computer science #Discretization #Integrable system #Lie algebra #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Pfaffian #Pure mathematics #Simple (philosophy) #Toda lattice #Yangian #hep-th #nlin.SI #solv-int
paper · pdf · doi:10.1088/0305-4470/29/8/022
published as J.Phys.A29:1759-1766,1996 · Plain Tex, 9 pages
arxiv created 1995/09/08 · openalex publication_date 1996/04/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider a class of two-dimensional Toda equations on discrete spacetime. It has arisen as functional relations in a 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.