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Singular vectors of the Ding-Iohara-Miki algebra (Q2286717)

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Language	Label	Description	Also known as
English	Singular vectors of the Ding-Iohara-Miki algebra	scientific article

Statements

scholarly article

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Singular vectors of the Ding-Iohara-Miki algebra (English)

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Theoretical and Mathematical Physics

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publication date

22 January 2020

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zbMATH Keywords

AGT correspondence

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Macdonald symmetric function

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Ding-Iohara-Miki algebra

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singular vector

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MaRDI profile type

MaRDI publication profile

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Generalization of Drinfeld quantum affine algebras

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A (q,γ) analog of the W1+∞ algebra

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On the Hall algebra of an elliptic curve. I.

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A commutative algebra on degenerate CP1 and Macdonald polynomials

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Quantum continuous \(\mathfrak{gl}_{\infty}\): semiinfinite construction of representations

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Quantum continuous \(\mathfrak{gl}_{\infty}\): tensor products of Fock modules and \(\mathcal{W}_{n}\)-characters

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Quantum toroidal \(\mathfrak{gl}_{1}\)-algebra: plane partitions

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Equivariant \(K\)-theory of Hilbert schemes via shuffle algebra

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Coherent states in quantum $\mathcal{W}_{1+\infty}$ algebra and qq-character for 5d super Yang–Mills

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\((p,q)\)-webs of DIM representations, 5d \(\;\mathcal{N}=1 \) instanton partition functions and qq-characters

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Reflection states in Ding-Iohara-Miki algebra and brane-web for D-type quiver

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Liouville correlation functions from four-dimensional gauge theories

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On combinatorial expansion of the conformal blocks arising from AGT conjecture

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Integrable structure, W-symmetry and AGT relation

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Five-dimensional AGT conjecture and the deformed Virasoro algebra

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Five-Dimensional AGT Relation and the Deformed -Ensemble

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Proving AGT conjecture as HS duality: Extension to five dimensions

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Generalized Macdonald polynomials, spectral duality for conformal blocks and AGT correspondence in five dimensions

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The \(q\)-AGT-W relations via shuffle algebras

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Quantum algebraic approach to refined topological vertex

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Explicit examples of DIM constraints for network matrix models

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Toric Calabi-Yau threefolds as quantum integrable systems. \(\mathcal R\)-matrix and \(\mathcal{RTT}\) relations

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Anomaly in \(\mathcal{RTT}\) relation for DIM algebra and network matrix models

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Quantum toroidal $\mathfrak{g}{{\mathfrak{l}}_{1}}$ and Bethe ansatz

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The Maulik–Okounkov R-matrix from the Ding–Iohara–Miki algebra

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Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials

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Excited states of the Calogero-Sutherland model and singular vectors of the \(W_N\) algebra

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A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions

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Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials

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Collective field theory, Calogero-Sutherland model and generalized matrix models

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A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation

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Quantum \({\mathcal W}\)-algebras and elliptic algebras

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The deformed Virasoro algebra at roots of unity

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On deformed \({\mathcal W}\)-algebras and quantum affine algebras

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

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Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra, and 5D AGT correspondence

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Towards the proof of AGT relations with the help of the generalized Jack polynomials

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REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS

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\((q, t)\)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces

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Five-dimensional SU(2) AGT conjecture and recursive formula of deformed Gaiotto state

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The Selberg-Jack symmetric functions

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$q$-Selberg integrals and Macdonald polynomials

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full work available at URL

https://doi.org/10.1134/s0040577919040019

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Identifiers

zbMATH Open document ID

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10.1134/S0040577919040019

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2286717

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