Quantum affine algebras and their representations

DOI10.1016/0022-4049(95)00051-WzbMATH Open0854.17015MaRDI QIDQ1896840

D. A. Kazhdan, Ya. S. Sojbel'man

Publication date: 22 January 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

quantum affine algebrafusionquantum Knizhnik-Zamolodchikov equationsquasi-associativity constraintrepresentation category of affine quantum groups

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)

Cites Work

• Quantum affine algebras and holonomic difference equations
• Tensor Structures Arising from Affine Lie Algebras. IV
• Introduction to quantum groups

Related Items (11)

Representations of quantum algebras. The mixed case. ⋮ The Gelfand–Zeitlin selection rules and representations of quantum Anq algebras ⋮ On the skew representations of the quantum affine algebra ⋮ Corner transfer matrices and quantum affine algebras ⋮ Quantum affine wreath algebras ⋮ Representations of Shifted Quantum Affine Algebras ⋮ Finite-dimensional representations of quantum affine algebras at roots of unity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Affine quantum Schur algebras at roots of unity ⋮ Quiver varieties and finite dimensional representations of quantum affine algebras

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