Elliptic Quantum Toroidal Algebras, Z-algebra Structure and Representations

Cites Work

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Branching rules for quantum toroidal $\mathfrak{gl}_n$
Representations of quantum toroidal $\mathfrak{gl}_n$
Cherednik algebras, $W$-algebras and the equivariant cohomology of the moduli space of instantons on $\mathbb A^2$
Quantum toroidal $\mathfrak{gl}_{1}$-algebra: plane partitions
Anomaly in $\mathcal{RTT}$ relation for DIM algebra and network matrix models
Quantum continuous $\mathfrak{gl}_{\infty}$: semiinfinite construction of representations
Quantum continuous $\mathfrak{gl}_{\infty}$: tensor products of Fock modules and $\mathcal{W}_{n}$-characters
Equivariant $K$-theory of Hilbert schemes via shuffle algebra
Elliptic quantum groups $U_{q,p}(\widehat{{\mathfrak{gl}}}_N)$ and $E_{q,p}(\widehat{{\mathfrak{gl}}}_N)$
Schur duality in the toroidal setting
Seiberg-Witten prepotential from instanton counting
Verma modules over the Virasoro algebra
$K$-theory of quiver varieties, $q$-Fock space and nonsymmetric Macdonald polynomials
The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
A q-difference analogue of $U({\mathfrak g})$ and the Yang-Baxter equation
Unitary representations of the Virasoro and super-Virasoro algebras
Double-loop algebras and the Fock space
Elliptic algebra $U_{q,p} (\widehat {\mathfrak {sl}}_2)$: Drinfeld currents and vertex operators
Deformations of $W$-algebras associated to simple Lie algebras
Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
An elliptic algebra $U_{q,p}(\widehat{\text{sl}_2})$ and the fusion RSOS model
Toroidal braid group action and an automorphism of toroidal algebra $U_q(sl_{n+1,\text{tor}})$ $(n\geqq 2)$
Braid group action and quantum affine algebras
Toroidal actions on level 1 modules of $U_q(\widehat{sl}_n)$
Elliptic hypergeometric series on root systems.
BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and $qq$-characters
Explicit examples of DIM constraints for network matrix models
Quiver W-algebras
An elliptic Virasoro symmetry in 6d
The $q$-AGT-W relations via shuffle algebras
$(q, t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces
Exchange dynamical quantum groups
Exactly solvable SOS models. Local height probabilities and theta function identities
Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
Langlands reciprocity for algebraic surfaces
Higher level representations of the quantum affine algebra $U_ q(\hat sl(2))$
Quantum ${\mathcal W}_ N$ algebras and Macdonald polynomials
The elliptic Hall algebra and the $K$-theory of the Hilbert scheme of $\mathbb{A}^{2}$
Quasi-Hopf twistors for elliptic quantum groups
Evaluation modules for quantum toroidal $\mathfrak{gl}_n$ algebras
Quantum toroidal algebras and their representations
Liouville correlation functions from four-dimensional gauge theories
Quantum algebraic approach to refined topological vertex
Elliptic algebra $U_{q,p}(\hat{\mathfrak {g}})$ and quantum $Z$-algebras
Plane partitions with a ``pit: generating functions and representation theory
Elliptic quantum toroidal algebra $U_{q,t,p}(\mathfrak{gl}_{1,tor})$ and affine quiver gauge theories
Representations of quantum toroidal algebra Uq(sln+1,tor) (n⩾2)
The Shuffle Algebra Revisited
The elliptic Hall algebra, Cherednik Hecke algebras and Macdonald polynomials
G_N ⊗ G_L/G_N+L CONFORMAL FIELD THEORIES AND THEIR MODULAR INVARIANT PARTITION FUNCTIONS
Elliptic quantum group U_{q\hbox{\scriptsize \bf,\,} p}(\widehat{{\mathfrak {sl}}}_2) and vertex operators
A (q,γ) analog of the W1+∞ algebra
A commutative algebra on degenerate CP1 and Macdonald polynomials
Vertex representations of quantum affine algebras
A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
Quiver varieties and finite dimensional representations of quantum affine algebras
Toroidal and level 0 Uq′(sln+1∧) actions on Uq(gln+1∧) modules
On the K-theory of the cyclic quiver variety
Quantum z-algebras and representations of quantum affine algebras
Elliptic Quantum Groups
Elliptic stable envelopes
Quantum toroidal $\mathfrak{g}{{\mathfrak{l}}_{1}}$ and Bethe ansatz
A quantum analog of the 𝒵 algebra
Coherent states in quantum $\mathcal{W}_{1+\infty}$ algebra and qq-character for 5d super Yang–Mills
Quantum groups and quantum cohomology
Quantum toroidal algebras and their vertex representations
Free field construction for the ABF models in regime II.
Harmonic analysis on the $\text{SU}(2)$ dynamical quantum group

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