Quantum toroidal algebra associated with \(\mathfrak{gl}_{m|n}\)
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Publication:2040641
DOI10.1007/s10468-020-09959-9zbMath1486.17023arXiv1904.07297OpenAlexW3023443787MaRDI QIDQ2040641
Luan Bezerra, Evgenii E. Mukhin
Publication date: 14 July 2021
Published in: Algebras and Representation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.07297
Related Items (12)
Quiver Yangians and crystal meltings: A concise summary ⋮ Super-Schur polynomials for affine super Yangian \(\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})\) ⋮ On generators and defining relations of quantum affine superalgebra Uq(𝔰𝔩̂m|n) ⋮ A note on quiver Yangians and \(\mathcal{R}\)-matrices ⋮ Gauge/Bethe correspondence from quiver BPS algebras ⋮ Commutative subalgebra of a shuffle algebra associated with quantum toroidal \(\mathfrak{gl}_{m|n}\) ⋮ 5d AGT correspondence of supergroup gauge theories from quantum toroidal \(\mathfrak{gl}_1\) ⋮ Braid actions on quantum toroidal superalgebras ⋮ \(\mathfrak{gl}_N\) Higgsed networks ⋮ Toroidal and elliptic quiver BPS algebras and beyond ⋮ A note on quiver quantum toroidal algebra ⋮ Shifted quiver quantum toroidal algebra and subcrystal representations
Cites Work
- Branching rules for quantum toroidal \(\mathfrak{gl}_n\)
- Representations of quantum toroidal \(\mathfrak{gl}_n\)
- On the Hall algebra of an elliptic curve. I.
- Equivariant \(K\)-theory of Hilbert schemes via shuffle algebra
- Schur duality in the toroidal setting
- Quantum affine Gelfand-Tsetlin bases and quantum toroidal algebra via \(K\)-theory of affine Laumon spaces
- Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\)
- Generalization of Drinfeld quantum affine algebras
- A level-one representation of the quantum affine superalgebra \(U_q(\widehat{\mathfrak sl}(M+1\mid N+1))\)
- Langlands reciprocity for algebraic surfaces
- The elliptic Hall algebra and the \(K\)-theory of the Hilbert scheme of \(\mathbb{A}^{2}\)
- On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras
- Quantum algebraic approach to refined topological vertex
- Finite type modules and Bethe ansatz equations
- A bosonization of \(U_q\left(\widehat{sl}(M| N)\right)\)
- The Shuffle Algebra Revisited
- The elliptic Hall algebra, Cherednik Hecke algebras and Macdonald polynomials
- Comments on the Drinfeld realization of the quantum affine superalgebra and its Hopft algebra structure
- Commutation relations of vertex operators for Uq(sl^(M|N))
- Integrals of motion from quantum toroidal algebras
- Toroidal and level 0 Uq′(sln+1∧) actions on Uq(gln+1∧) modules
- Towards trigonometric deformation of sl^2 coset VOA
- Quantum toroidal algebras and their vertex representations
- Integrable highest weight modules over affine superalgebras and Appell's function
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