Integration on quantum Euclidean space and sphere in $N$ dimensions

Details Integration on quantum Euclidean space and sphere in $N$ dimensions Integration on quantum Euclidean space and sphere in $N$ dimensions

1995-06-23

arxiv.org/abs/q-alg/9506020v3

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex, citations and reference added, minor typos corrected

Scientific paper

10.1063/1.531658

Invariant integrals of functions and forms over $q$ - deformed Euclidean space and spheres in $N$ dimensions are defined and shown to be positive definite, compatible with the star - structure and to satisfy a cyclic property involving the $D$ - matrix of $SO_q(N)$. The definition is more general than the Gaussian integral known so far. Stokes theorem is proved with and without spherical boundary terms, as well as on the sphere.

Affiliated with

Also associated with

No associations

Rating

Integration on quantum Euclidean space and sphere in $N$ dimensions 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 Integration on quantum Euclidean space and sphere in $N$ dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integration on quantum Euclidean space and sphere in $N$ dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-195789