1999/05/02 by Alexander Chervov, A. Chervov, Chervov, Alexander
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.math/9905005
16 pages, LaTex
arxiv created 1999/05/02 · openalex publication_date 1999/05/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Intertwiners between representations of Lie groups can be used to obtain relations for matrix elements. We apply this technique to obtain different identities for the wave functions of the open Toda chain, in particular raising operators and bilinear relations for the wave functions at different energy levels. We also recall the group theory approach to the Toda chain: treating the wave functions as matrix elements in irreducible representations between the so-called Whittaker vectors, integral representations of the wave functions, etc.