Casimir invariants for quantized affine Lie algebras

DOI10.1007/BF00751173zbMath0806.17009arXivhep-th/9304144MaRDI QIDQ1329174

Yao-Zhong Zhang, Mark D. Gould

Publication date: 29 June 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9304144

zbMATH Keywords

eigenvaluesCasimir invariantsirreducible highest-weight representationquantized affine Lie algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Cites Work

• Infinite dimensional Lie algebras. An introduction
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• Quantum affine algebras and holonomic difference equations
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Generalized Gel’fand invariants and characteristic identities for quantum groups
• Unitarity and complete reducibility of certain modules over quantized affine Lie algebras

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