Raising operators for the Whittaker wave functions of the Toda chain and intertwining operators

DOI10.1007/s10958-005-0259-zzbMath1117.81333arXivmath/9905005OpenAlexW2080453530MaRDI QIDQ997802

Alexander Chervov

Publication date: 7 August 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9905005

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

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Cites Work

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• Some applications of hypergeometric shift operators
• Representations of affine Kac-Moody algebras, bosonization and resolutions
• Lie algebras and equations of Korteweg-de Vries type
• Quantum affine algebras and holonomic difference equations
• On Whittaker vectors and representation theory
• Integrable structure of conformal field theory. III: The Yang-Baxter relation
• Creation operators for the Macdonald and Jack polynomials
• Rodrigues formulas for the Macdonald polynomials
• Quantum deformation of Whittaker modules and the Toda lattice.
• Integrable many-body systems in the field theories
• Affine Hecke algebras and raising operators for Macdonald polynomials
• An elementary approach to the hypergeometric shift operators of Opdam
• Liouville Type Models in the Group Theory Framework: I. Finite-Dimensional Algebras
• GENERALIZED HIROTA EQUATIONS AND REPRESENTATION THEORY I: THE CASE OF SL(2) AND SL_q(2)
• Differential-Difference Operators Associated to Reflection Groups
• Character sums associated to finite Coxeter groups
• Realizations of su(1,1) and Uq(su(1,1)) and generating functions for orthogonal polynomials
• Integral formulas for wave functions of quantum many-body problems and representations of 𝔤l n

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