Introduction to Quantum Lie Algebras

Gustav W. Delius

Introduction to Quantum Lie Algebras

q-alg 2008-02-03 v1 Quantum Algebra

Authors: Gustav W. Delius

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 $(sl_2)_h$ .

Keywords

lie algebra quantum groups lie algebras and superalgebras

Cite

@article{arxiv.q-alg/9605026,
  title  = {Introduction to Quantum Lie Algebras},
  author = {Gustav W. Delius},
  journal= {arXiv preprint arXiv:q-alg/9605026},
  year   = {2008}
}

Comments

Contribution to the Proceedings of the Banach Minisemester on Quantum Groups, Warsaw, November 1995. 8 pages amslatex. Files also available at http://www.mth.kcl.ac.uk/~delius/q-lie/qlie_biblio/qlieintr.html

Introduction to Quantum Lie Algebras

Abstract

Keywords

Cite

Comments

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