On Hopf algebraic structures of quantum toroidal algebras
From MaRDI portal
Publication:5882672
DOI10.1080/00927872.2022.2127604OpenAlexW4302759485MaRDI QIDQ5882672
Publication date: 17 March 2023
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.05416
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Branching rules for quantum toroidal \(\mathfrak{gl}_n\)
- Representations of quantum toroidal \(\mathfrak{gl}_n\)
- Schur duality in the toroidal setting
- Some quotient algebras arising from the quantum toroidal algebra \(U_q(\mathrm{sl}_2(\mathcal{C}_{\gamma}))\)
- Two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak {sl}_n})\), Drinfel'd realization and quantum affine Lyndon basis
- Quantum affine algebras and holonomic difference equations
- Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)
- Braid group action and quantum affine algebras
- Generalization of Drinfeld quantum affine algebras
- Quantum Kac-Moody algebras and vertex representations
- Quantum vertex representations via finite groups and the McKay correspondence
- Coproduct for Yangians of affine Kac-Moody algebras
- Langlands reciprocity for algebraic surfaces
- Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\)
- Yangian double
- Higher level representations of the quantum affine algebra \(U_ q(\hat sl(2))\)
- Yangians and quantum loop algebras
- Quantum toroidal algebras and their representations
- On quantum shuffle and quantum affine algebras
- Drinfel'd doubles and Lusztig's symmetries of two-parameter quantum groups
- Representations of quantum toroidal algebra Uq(sln+1,tor) (n⩾2)
- Two-parameter twisted quantum affine algebras
- From quantum loop algebras to Yangians
- Actions of the quantum toroidal algebra of type sl2 on the space of vertex operators for Uq(gl2̂) modules
- Vertex operators for twisted quantum affine algebras
- Two-parameter quantum vertex representations via finite groups and the McKay correspondence
- Quantum toroidal $\mathfrak{g}{{\mathfrak{l}}_{1}}$ and Bethe ansatz
- Quantum groups and quantum cohomology
- Drinfeld coproduct, quantum fusion tensor category and applications
- Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras.