Representations of the Generalized Lie Algebra sl(2)_q

Details Representations of the Generalized Lie Algebra sl(2)_q Representations of the Generalized Lie Algebra sl(2)_q

1998-03-20

arxiv.org/abs/math/9803095v1

J. Phys. A31 (1998) 6635-6645

Mathematics

Quantum Algebra

14 pages, plain-TEX file using input files harvmac.tex, amssym.def

Scientific paper

10.1088/0305-4470/31/31/010

We construct finite-dimensional irreducible representations of two quantum algebras related to the generalized Lie algebra $\ssll (2)_q$ introduced by Lyubashenko and the second named author. We consider separately the cases of $q$ generic and $q$ at roots of unity. Some of the representations have no classical analog even for generic $q$. Some of the representations have no analog to the finite-dimensional representations of the quantised enveloping algebra $U_q(sl(2))$, while in those that do there are different matrix elements.

Affiliated with

Also associated with

No associations

Rating

Representations of the Generalized Lie Algebra sl(2)_q does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Representations of the Generalized Lie Algebra sl(2)_q, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representations of the Generalized Lie Algebra sl(2)_q will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-681013