An Example of $Z_{N}$-Graded Noncommutative Differential Calculus

Details An Example of $Z_{N}$-Graded Noncommutative Differential Calculus An Example of $Z_{N}$-Graded Noncommutative Differential Calculus

1999-08-03

arxiv.org/abs/math-ph/9908005v1

Physics

Mathematical Physics

10 pages

Scientific paper

In this work, we consider the algebra $M_{N}(C)$ of $N\times N$ matrices as a cyclic quantum plane. We also analyze the coaction of the quantum group ${\cal F}$ and the action of its dual quantum algebra ${\cal H}$ on it. Then, we study the decomposition of $M_{N}(C)$ in terms of the quantum algebra representations. Finally, we develop the differential algebra of the cyclic group $Z_{N}$ with $d^{N}=0$, and treat the particular case N=3.

Affiliated with

Also associated with

No associations

Rating

An Example of $Z_{N}$-Graded Noncommutative Differential Calculus 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 An Example of $Z_{N}$-Graded Noncommutative Differential Calculus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Example of $Z_{N}$-Graded Noncommutative Differential Calculus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-669298