Canonical bases for sl(2,C)-modules of spherical monogenics in dimension 3

Details Canonical bases for sl(2,C)-modules of spherical monogenics in dimension 3 Canonical bases for sl(2,C)-modules of spherical monogenics in dimension 3

2010-03-29

arxiv.org/abs/1003.5587v2

Mathematics

Complex Variables

a revised version (some references added, Introduction changed ); accepted for publication in Proceedings of the Winter School

Scientific paper

Spaces of homogeneous spherical monogenics in dimension 3 can be considered naturally as sl(2,C)-modules. As finite-dimensional irreducible sl(2,C)-modules, they have canonical bases which are, by construction, orthogonal. In this note, we show that these orthogonal bases form the Appell system and coincide with those constructed recently by S. Bock and K. Guerlebeck. Moreover, we obtain simple expressions of elements of these bases in terms of the Legendre polynomials.

Affiliated with

Also associated with

No associations

Rating

Canonical bases for sl(2,C)-modules of spherical monogenics in dimension 3 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 Canonical bases for sl(2,C)-modules of spherical monogenics in dimension 3, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Canonical bases for sl(2,C)-modules of spherical monogenics in dimension 3 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-501045