Nonstandard q-deformation of the universal enveloping algebra $U'({\rm so}_n)$

Details Nonstandard q-deformation of the universal enveloping algebra $U'({\rm so}_n)$ Nonstandard q-deformation of the universal enveloping algebra $U'({\rm so}_n)$

1999-11-16

arxiv.org/abs/math/9911114v1

Mathematics

Quantum Algebra

5 pages, LaTeX

Scientific paper

We describe properties of the nonstandard q-deformation $U'_q({\rm so}_n)$ of the universal enveloping algebra $U({\rm so}_n)$ of the Lie algebra ${\rm so}_n$ which does not coincide with the Drinfeld--Jimbo quantum algebra $U_q({\rm so}_n)$. Irreducible representations of this algebras for q a root of unity q^p=1 are given. These representations act on p^N-dimensional linear space (where N is a number of positive roots of the Lie algebra ${\rm so}_n$) and are given by $r={\rm dim} {\rm so}_n$ complex parameters.

Affiliated with

Also associated with

No associations

Rating

Nonstandard q-deformation of the universal enveloping algebra $U'({\rm so}_n)$ 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 Nonstandard q-deformation of the universal enveloping algebra $U'({\rm so}_n)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonstandard q-deformation of the universal enveloping algebra $U'({\rm so}_n)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-304732