On finite-dimensional representations of two-parameter quantum affine algebras

DOI10.1142/S0219498816500547zbMath1405.17029arXiv1210.5767WikidataQ57432723 ScholiaQ57432723MaRDI QIDQ2797010

Naihuan Jing, Honglian Zhang

Publication date: 30 March 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5767

zbMATH Keywords

Drinfeld realizationtwo-parameter quantum affine algebrafinite-dimensional representationevaluation representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (1)

Two-parameter quantum affine algebra of type \(C_n^{(1)}\), Drinfeld realization and vertex representation

Cites Work

• Two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak {sl}_n})\), Drinfel'd realization and quantum affine Lyndon basis
• Drinfel'd doubles and Lusztig's symmetries of two-parameter quantum groups
• Multiparameter quantum groups and twisted quasitriangular Hopf algebras
• Two-parameter Quantum Affine Algebra $U_{r,s}(\widehat{\frak{sl}}_2)$
• Two-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW-type Basis
• Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation
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