Difference equations and Pieri formulas for \(G_2\) type Macdonald polynomials and integrability
From MaRDI portal
Publication:1035777
DOI10.1007/s11005-008-0275-2zbMath1179.33028OpenAlexW1993507950MaRDI QIDQ1035777
Masahiko Ito, Jan Felipe van Diejen
Publication date: 4 November 2009
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11005-008-0275-2
Applications of Lie algebras and superalgebras to integrable systems (17B80) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)
Related Items
Quantum Lax pairs via Dunkl and Cherednik operators ⋮ Pieri formulas for Macdonald's spherical functions and polynomials ⋮ An (inverse) Pieri formula for Macdonald polynomials of type \(C\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new class of integrable systems and its relation to solitons
- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- Orthogonal polynomials associated with root systems
- Macdonald polynomials and algebraic integrability
- Macdonald's evaluation conjectures and difference Fourier transform
- Inversion of the Pieri formula for Macdonald polynomials
- A combinatorial formula for nonsymmetric Macdonald polynomials
- Properties of some families of hypergeometric orthogonal polynomials in several variables
- Integrability of difference Calogero–Moser systems
- Lectures on affine Hecke algebras and Macdonald’s conjectures
- Determinantal construction of orthogonal polynomials associated with root systems
- A combinatorial formula for Macdonald polynomials
- Commuting difference operators with polynomial eigenfunctions
