Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence

DOI10.1007/s00220-021-04036-8zbMath1478.33006arXiv2008.06010OpenAlexW3048946219MaRDI QIDQ2042359

Martin A. Hallnäs, Misha V. Feigin, Alexander P. Veselov

Publication date: 29 July 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.06010

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Special quantum systems, such as solvable systems (81Q80)

Related Items (1)

New orthogonality relations for super-Jack polynomials and an associated Lassalle-Nekrasov correspondence

Cites Work

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• Complex exceptional orthogonal polynomials and quasi-invariance
• Automorphisms of algebras and Bochner's property for vector orthogonal polynomials
• On Cohen-Macaulayness of algebras generated by generalized power sums. With an appendix by Misha Feigin
• Hermite and Laguerre symmetric functions associated with operators of Calogero-Moser-Sutherland type
• Generalized Calogero-Moser systems from rational Cherednik algebras
• Differential equations in the spectral parameter
• \(d\)-orthogonal analogs of classical orthogonal polynomials
• Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
• Generalized Hermite polynomials and supergaussian forms
• Operational formulas connected with two generalizations of Hermite polynomials
• Three integrable Hamiltonian systems connected with isospectral deformations
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• Geodesic flows on symmetric spaces of zero curvature and explicit solution of the generalized Calogero model for the classical case
• Some finite dimensional integrable systems and their scattering behavior
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• Algebraic integrability for the Schrödinger equation and finite reflection groups
• The Calogero-Sutherland model and generalized classical polynomials
• Confluent hypergeometric orthogonal polynomials related to the rational quantum Calogero system with harmonic confinement
• Deformed quantum Calogero-Moser problems and Lie superalgebras
• Cherednik algebras and differential operators on quasi-invariants.
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Commutative rings of partial differential operators and Lie algebras
• Harmonic analysis for certain representations of graded Hecke algebras
• Multidimensional Baker-Akhiezer functions and Huygens' principle
• A class of Baker-Akhiezer arrangements
• Wronskian Appell polynomials and symmetric functions
• An elementary approach to the hypergeometric shift operators of Opdam
• A Generalized Freud Weight
• The Gould-Hopper polynomials in the Novikov-Veselov equation
• Automorphisms of the Heisenberg–Weyl algebra and d-orthogonal polynomials
• Unitary representations of rational Cherednik algebras
• Differential-Difference Operators Associated to Reflection Groups
• Hamiltonian group actions and dynamical systems of calogero type
• New integrable generalizations of Calogero–Moser quantum problem
• Darboux transformations for multidimensional Schrödinger operators
• Singular Polynomials for Finite Reflection Groups
• Exchange operator formalism for integrable systems of particles
• Multivariable continuous Hahn and Wilson polynomials related to integrable difference systems
• Coefficients of Wronskian Hermite polynomials
• Jack–Laurent symmetric functions
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
• Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
• Baker-Akhiezer functions and generalised Macdonald-Mehta integrals
• Proof of a conjecture by Gazeau et al. using the Gould-Hopper polynomials
• A∞-modules and Calogero-Moser spaces
• Recurrence relations for exceptional Hermite polynomials

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