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On Hopf algebraic structures of quantum toroidal algebras - MaRDI portal

On Hopf algebraic structures of quantum toroidal algebras (Q5882672)

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scientific article; zbMATH DE number 7664315

Language	Label	Description	Also known as
English	On Hopf algebraic structures of quantum toroidal algebras	scientific article; zbMATH DE number 7664315

Statements

scholarly article

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On Hopf algebraic structures of quantum toroidal algebras (English)

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Communications in Algebra

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publication date

17 March 2023

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full work available at URL

https://arxiv.org/abs/1604.05416

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zbMATH Keywords

Drinfeld realization

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comultiplication

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Drinfeld generator

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Hopf algebra

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quantum toroidal algebra

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MaRDI profile type

MaRDI publication profile

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Braid group action and quantum affine algebras

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Drinfel'd doubles and Lusztig's symmetries of two-parameter quantum groups

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Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)

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Generalization of Drinfeld quantum affine algebras

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Quantum vertex representations via finite groups and the McKay correspondence

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Branching rules for quantum toroidal \(\mathfrak{gl}_n\)

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Representations of quantum toroidal \(\mathfrak{gl}_n\)

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

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Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras.

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Quantum affine algebras and holonomic difference equations

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Yangians and quantum loop algebras

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From quantum loop algebras to Yangians

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Coproduct for Yangians of affine Kac-Moody algebras

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Langlands reciprocity for algebraic surfaces

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On quantum shuffle and quantum affine algebras

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Drinfeld coproduct, quantum fusion tensor category and applications

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Quantum toroidal algebras and their representations

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Two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak {sl}_n})\), Drinfel'd realization and quantum affine Lyndon basis

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Higher level representations of the quantum affine algebra \(U_ q(\hat sl(2))\)

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Quantum Kac-Moody algebras and vertex representations

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Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\)

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Vertex operators for twisted quantum affine algebras

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Two-parameter quantum vertex representations via finite groups and the McKay correspondence

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Two-parameter twisted quantum affine algebras

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Quantum groups and quantum cohomology

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Representations of quantum toroidal algebra Uq(sln+1,tor) (n⩾2)

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Actions of the quantum toroidal algebra of type <i>sl</i>2 on the space of vertex operators for Uq(gl2̂) modules

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Some quotient algebras arising from the quantum toroidal algebra \(U_q(\mathrm{sl}_2(\mathcal{C}_{\gamma}))\)

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Schur duality in the toroidal setting

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Identifiers

10.1080/00927872.2022.2127604

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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:5882672

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