Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence

Lassalle and Nekrasov discovered in the 1990s a surprising correspondence between the rational Calogero-Moser system with a harmonic term and its trigonometric version. We present a conceptual explanation of this correspondence using the rational Cherednik algebra and establish its quasi-invariant e...

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Veröffentlicht in:	arXiv.org 2020-08
Hauptverfasser:	Feigin, M V, Hallnäs, M A, Veselov, A P
Format:	Artikel
Sprache:	eng
Schlagworte:	Configurations Correspondence Hermite polynomials Hyperplanes Invariants Mathematical analysis Mathematics - Mathematical Physics Operators (mathematics) Physics - Exactly Solvable and Integrable Systems Physics - Mathematical Physics
Online-Zugang:	Volltext
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