PATH HYPERGEOMETRIC FUNCTIONS
DOI10.1142/S0219498807002405zbMath1177.17019OpenAlexW4249079041MaRDI QIDQ3502762
Publication date: 20 May 2008
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219498807002405
intertwining operatorhypergeometric functionWeyl functionpath polynomialCalogero-Sutherland model Olshanetsky-Perelomov modelEtingof trace function
Other hypergeometric functions and integrals in several variables (33C70) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
Cites Work
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- Hecke algebras and hypergeometric functions
- Some applications of hypergeometric shift operators
- Monodromy for the hypergeometric function \(_ nF_{n-1}\)
- Completely integrable Hamiltonian systems connected with semisimple Lie algebras
- Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
- An analogue of the Gauss summation formula for hypergeometric functions related to root systems
- Harmonic analysis for certain representations of graded Hecke algebras
- An elementary approach to the hypergeometric shift operators of Opdam
- Hamiltonian group actions and dynamical systems of calogero type
- GG-functions and their relation to general hypergeometric functions
- Structure of certain induced representations of complex semisimple Lie algebras
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