Super-Macdonald polynomials: orthogonality and Hilbert space interpretation

DOI10.1007/s00220-021-04166-zzbMath1481.33014arXiv2103.07400OpenAlexW3191723139MaRDI QIDQ2244092

Farrokh Atai, Edwin Langmann, Martin A. Hallnäs

Publication date: 11 November 2021

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

Full work available at URL: https://arxiv.org/abs/2103.07400

zbMATH Keywords

orthogonal polynomialssuper Macdonald polynomials

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (7)

Higher order deformed elliptic Ruijsenaars operators ⋮ New orthogonality relations for super-Jack polynomials and an associated Lassalle-Nekrasov correspondence ⋮ Defects at the intersection: the supergroup side ⋮ From Kajihara's transformation formula to deformed Macdonald-Ruijsenaars and Noumi-Sano operators ⋮ Eigenfunctions of the van Diejen model generated by gauge and integral transformations ⋮ On refined Chern-Simons and refined ABJ matrix models ⋮ Intersecting defects and supergroup gauge theory

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