On elliptic Calogero-Moser systems for complex crystallographic reflection groups
From MaRDI portal
Publication:549993
DOI10.1016/j.jalgebra.2010.04.011zbMath1243.14036arXiv1003.4689OpenAlexW2963268329MaRDI QIDQ549993
Alexander P. Veselov, Giovanni Felder, Xiaoguang Ma, Pavel I. Etingof
Publication date: 19 July 2011
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.4689
Related Items
Gaudin models and multipoint conformal blocks: general theory ⋮ Conformal hypergeometry and integrability ⋮ Spherical and Whittaker functions via DAHA. I. ⋮ Quantum Lax pairs via Dunkl and Cherednik operators ⋮ KP hierarchy for the cyclic quiver ⋮ Generalized Calogero-Moser systems from rational Cherednik algebras ⋮ Automorphisms of the quantum cohomology of the Springer resolution and applications ⋮ Spectral Curve of the Halphen Operator ⋮ Classical \(N\)-reflection equation and Gaudin models ⋮ Frobenius algebras and root systems: the trigonometric case ⋮ Cobordisms, manifolds with torus action, and functional equations ⋮ Inozemtsev system as Seiberg-Witten integrable system ⋮ Gaudin models and multipoint conformal blocks. II: Comb channel vertices in 3D and 4D ⋮ Gaudin models and multipoint conformal blocks. III: Comb channel coordinates and OPE factorisation
Cites Work
- On elliptic Dunkl operators
- Calogero-Moser systems and representation theory
- Three integrable Hamiltonian systems connected with isospectral deformations
- Completely integrable Hamiltonian systems connected with semisimple Lie algebras
- Quantum completely integrable systems connected with semi-simple Lie algebras
- Algebraic integrability for the Schrödinger equation and finite reflection groups
- Presentations for crystallographic complex reflection groups
- Quantum integrable systems and differential Galois theory
- Generalized Lamé operators
- Calogero-Moser-Sutherland models. Workshop, Centre de Recherches Mathématique, Montréal, Canada, March 10--15, 1997
- Integrability in the theory of Schrödinger operator and harmonic analysis
- Elliptic Dunkl operators, root systems, and functional equations
- Commutative rings of partial differential operators and Lie algebras
- Lax representation with spectral parameter on a torus for integrable particle systems
- On the solutions of Halphen's equation
- Elliptic quantum many-body problem and double affine Knizhnik- Zamolodchikov equation
- Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
- Parabolic induction and restriction functors for rational Cherednik algebras.
- A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
- Factorization in generalized Calogero-Moser spaces
- An elementary approach to the hypergeometric shift operators of Opdam
- Quasi-invariants of complex reflection groups
- Differential-Difference Operators Associated to Reflection Groups
- Integrable maps
- Hamiltonian group actions and dynamical systems of calogero type
- DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS
- Quantum integrable systems and representations of Lie algebras
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
- Invariants of Finite Groups Generated by Reflections
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item