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Commutative families of the elliptic Macdonald operator

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Publication:2447879
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DOI10.3842/SIGMA.2014.021zbMath1376.33020arXiv1305.7097MaRDI QIDQ2447879

Yosuke Saito

Publication date: 29 April 2014

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

Full work available at URL: https://arxiv.org/abs/1305.7097


zbMATH Keywords

elliptic Macdonald operatorfree field realizationelliptic Ding-Iohara-Miki algebra


Mathematics Subject Classification ID

Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)


Related Items (7)

A Macdonald refined topological vertex ⋮ Elliptic algebra, Frenkel–Kac construction and root of unity limit ⋮ Quantum hydrodynamics from large-\(n\) supersymmetric gauge theories ⋮ Macdonald topological vertices and brane condensates ⋮ Free field approach to the Macdonald process ⋮ On elliptic algebras and large-n supersymmetric gauge theories ⋮ On a complete solution of the quantum Dell system




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