Introduction to Quantum Lie Algebras
Abstract
Description
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 $(sl_2)_h$.
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
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