Level one representation of quantum $N$-toroidal algebra for type $G_2$

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Cites Work

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Representations of quantum toroidal $\mathfrak{gl}_n$
Some categories of modules for toroidal Lie algebras
Twisted vertex representations of quantum affine algebras
Schur duality in the toroidal setting
Toroidal Lie algebras and vertex representations
A q-difference analogue of $U({\mathfrak g})$ and the Yang-Baxter equation
Principal construction of the toroidal Lie algebra of type $A_1$
Vertex representations for $n$-toroidal Lie algebras and a generalization of the Virasoro algebra
Bosonic realizations of $U_q(C_n^{(1)})$
Quantum Kac-Moody algebras and vertex representations
$U_q(\widehat{\mathfrak{gl}}_N)$ action on $\widehat{\mathfrak{gl}}_N$-modules and quantum toroidal algebras.
Quantum vertex representations via finite groups and the McKay correspondence
Vertex representations for toroidal Lie algebra of type $G_2$
Level one representations of quantum affine algebras $U_q(C_n^{(1)})$
Irreducible representations for Virasoro-toroidal Lie algebras
Langlands reciprocity for algebraic surfaces
Higher level representations of the quantum affine algebra $U_ q(\hat sl(2))$
Quantum toroidal algebras and their representations
Representations of quantum toroidal algebra $U_q(\text{sl}_{n+1,\text{tor}}) (n\geq 2)$
Vertex operators of G₂⁽¹⁾and B_l⁽¹⁾
Vertex representations of quantum affine algebras
Level one representations of $U_q(G_2^{(1)}$
Quantum z-algebras and representations of quantum affine algebras
Vertex representation of quantum N-toroidal algebra for type F₄
Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation
Quantum toroidal algebras and their vertex representations

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Level one representation of quantum \(N\)-toroidal algebra for type \(G_2\)