Action of Virasoro operators on Hall-Littlewood polynomials

DOI10.1007/s11005-022-01608-0OpenAlexW3184881723MaRDI QIDQ2100092

Yanyan Li

Publication date: 21 November 2022

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

Full work available at URL: https://arxiv.org/abs/2107.10472

zbMATH Keywords

vertex operatorHall-Littlewood polynomialVirasoro operator

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Algebraic combinatorics (05Exx)

Related Items (1)

A new kind of anomaly: on W-constraints for GKM

Cites Work

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• Quantum cohomology and Virasoro algebra
• Generalized Brézin-Gross-Witten tau-function as a hypergeometric solution of the BKP hierarchy
• The Green polynomials via vertex operators
• Pfaffian identities and Virasoro operators
• Generalized Q-functions for GKM
• Superintegrability and Kontsevich-Hermitian relation
• Virasoro action on the \(Q\)-functions
• Q-polynomial expansion for Brézin-Gross-Witten tau-function
• On Certain Symmetric Functions
• Virasoro action on Schur function expansions, skew Young tableaux, and random walks
• Symmetric function products and plethysms and the boson-fermion correspondence
• A Note on the Multiplication of Hall Functions

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