Introduction to Quantum Lie Algebras

1996/05/17 by Gustav W. Delius, Delius, Gustav W.
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.q-alg/9605026

openalex publication_date 1996/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Quantum Lie algebras are generalizations of Lie algebras whose structure constants are power series in h. They are derived from the quantized enveloping algebras \uqg. The quantum Lie bracket satisfies a generalization of antisymmetry. Representations of quantum Lie algebras are defined in terms of a generalized commutator. In this paper the recent general results about quantum Lie algebras are introduced with the help of the explicit example of (sl₂)_h.

Citations

• Differential calculus on compact matrix pseudogroups (quantum groups)

Related

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