Hermite and Laguerre symmetric functions associated with operators of Calogero-Moser-Sutherland type

DOI10.3842/SIGMA.2012.049zbMath1268.05227arXiv1103.4593OpenAlexW2122225596MaRDI QIDQ352315

Patrick Desrosiers, Martin A. Hallnäs

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4593

zbMATH Keywords

symmetric functions(deformed) Calogero-Moser-Sutherland modelssuper-symmetric polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Power series rings (13J05)

Related Items (7)

The representation ring of the unitary groups and Markov processes of algebraic origin ⋮ \(\mathfrak{sl}(2)\) operators and Markov processes on branching graphs ⋮ New orthogonality relations for super-Jack polynomials and an associated Lassalle-Nekrasov correspondence ⋮ Transition functions of diffusion processes on the Thoma simplex ⋮ Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence ⋮ Elements of the q-Askey scheme in the algebra of symmetric functions ⋮ Orthogonality of super‐Jack polynomials and a Hilbert space interpretation of deformed Calogero–Moser–Sutherland operators

This page was built for publication: Hermite and Laguerre symmetric functions associated with operators of Calogero-Moser-Sutherland type