Functional realization of quantum affine algebras

DOI10.1063/1.529882zbMath0781.17008OpenAlexW2081414392MaRDI QIDQ4030988

Haruo Tsukada

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529882

zbMATH Keywords

quantum affine algebrasfunctional realizationbasic representations

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) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Vertex representations of quantum affine algebras