On a Deformation of $sl(2)$ with Paragrassmannian Variables

Details On a Deformation of $sl(2)$ with Paragrassmannian Variables On a Deformation of $sl(2)$ with Paragrassmannian Variables

1995-07-13

arxiv.org/abs/q-alg/9507008v2

J. Phys. A: Math. Gen. 29 (1996) 6729-6736

Mathematics

Quantum Algebra

12 pages, Latex-file, Minor change, To be published in J. Phys.A

Scientific paper

10.1088/0305-4470/29/21/009

We propose a new structure ${\cal U}^{r}_{\displaystyle{q}}(sl(2)) $. This is realized by multiplying $\delta$ ($q=e^{\delta}$, $\delta\in \CC$) by $\theta$, where $\theta$ is a real nilpotent -paragrassmannian- variable of order $r$ ($\theta^{r+1}=0$) that we call the order of deformation, the limit $r\rightarrow \infty$ giving back the standard ${\cal U}_{\displaystyle {q}}(sl(2))$. In particular we show that, for $r=1$, there exists a new ${\cal R}$-matrix associated with $sl(2)$. We also proof that the restriction of the values of the parameters of deformation give nonlinear algebras as particular cases.

Affiliated with

Also associated with

No associations

Rating

On a Deformation of $sl(2)$ with Paragrassmannian Variables 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 On a Deformation of $sl(2)$ with Paragrassmannian Variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a Deformation of $sl(2)$ with Paragrassmannian Variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-53517