Kac determinant and singular vector of the level \(N\) representation of Ding-Iohara-Miki algebra

DOI10.1007/s11005-018-1094-8zbMath1410.81026arXiv1706.02243OpenAlexW2623122093WikidataQ129854442 ScholiaQ129854442MaRDI QIDQ1731131

Yusuke Ohkubo

Publication date: 20 March 2019

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

Full work available at URL: https://arxiv.org/abs/1706.02243

zbMATH Keywords

AGT correspondenceMacdonald symmetric functionDing-Iohara-Miki algebra

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (4)

Generalized Macdonald functions on Fock tensor spaces and duality formula for changing preferred direction ⋮ Non-stationary Ruijsenaars functions for \(\kappa = t^{-1/N}\) and intertwining operators of Ding-Iohara-Miki algebra ⋮ Singular vectors of the Ding-Iohara-Miki algebra ⋮ A slow review of the AGT correspondence

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