Two-parameter twisted quantum affine algebras

DOI10.1063/1.4962722zbMath1406.17023arXiv1504.00090OpenAlexW1849814070WikidataQ57430614 ScholiaQ57430614MaRDI QIDQ2825536

Naihuan Jing, Honglian Zhang

Publication date: 13 October 2016

Published in: Communications in Algebra, Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00090

zbMATH Keywords

quantum affine algebrasDrinfeld realization

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

On Hopf algebraic structures of quantum toroidal algebras, Two-parameter quantum affine algebra of type \(C_n^{(1)}\), Drinfeld realization and vertex representation, Drinfeld realization of quantum twisted affine algebras via braid group, On generators and defining relations of quantum affine superalgebra Uq(𝔰𝔩̂m|n), Vertex representation of quantum N-toroidal algebra for type F₄, PBWD bases and shuffle algebra realizations for \(U_v(L\mathfrak{sl}_n)\), \(U_{v_1,v_2} (L\mathfrak{sl}_n)\), \(U_v (L\mathfrak{sl}(m|n))\) and their integral forms, Two-parameter twisted quantum affine algebras, Twisted quantum affinizations and quantization of extended affine lie algebras

Cites Work

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• Two-parameter quantum affine algebra of type \(C_n^{(1)}\), Drinfeld realization and vertex representation
• Drinfeld realization of quantum twisted affine algebras via braid group
• Twisted vertex representations of quantum affine algebras
• Crystal bases and two-sided cells of quantum affine algebras
• A two-parameter quantization of GL(n)
• Two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak {sl}_n})\), Drinfel'd realization and quantum affine Lyndon basis
• Fermionic realization of two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak{sl}}_n)\)
• Twisted quantum affine algebras
• Braid group action and quantum affine algebras
• Two-parameter quantum groups and Drinfel'd doubles.
• Langlands reciprocity for algebraic surfaces
• Yangians and quantum loop algebras
• Drinfel'd doubles and Lusztig's symmetries of two-parameter quantum groups
• Two-parameter twisted quantum affine algebras
• Two-parameter Quantum Affine Algebra $U_{r,s}(\widehat{\frak{sl}}_2)$
• Two-Parameter Quantum Algebras, Canonical Bases, and Categorifications
• Quantum GL_n
• Vertex representations of quantum affine algebras
• Vertex operators for twisted quantum affine algebras
• Quiver varieties and finite dimensional representations of quantum affine algebras
• Two-parameter quantum vertex representations via finite groups and the McKay correspondence
• Drinfeld coproduct, quantum fusion tensor category and applications
• Drinfeld Realization of Twisted Quantum Affine Algebras
• Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation
• On Hopf algebraic structures of quantum toroidal algebras
• Introduction to quantum groups