Quantum matrix ball: the Cauchi-Szegö kernel and the Shilov boundary

Details Quantum matrix ball: the Cauchi-Szegö kernel and the Shilov boundary Quantum matrix ball: the Cauchi-Szegö kernel and the Shilov boundary

2001-01-22

arxiv.org/abs/math/0101179v2

Mathematics

Quantum Algebra

LaTeX 2e, 15 pages, vaksman@ilt.kharkov.ua

Scientific paper

This work produces a q-analogue of the Cauchi-Szeg\"o integral representation that retrieves a holomorphic function in the matrix ball from its values on the Shilov boundary. Besides that, the Shilov boundary of the quantum matrix ball is described and the U_q su(m,n)-covariance of the U_q s(u(m)x u(n))-invariant integral on this boundary is established. The latter result allows one to obtain a q-analogue for the principal degenerate series of unitary representations related to the Shilov boundary of the matrix ball.

Affiliated with

Also associated with

No associations

Rating

Quantum matrix ball: the Cauchi-Szegö kernel and the Shilov boundary 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 Quantum matrix ball: the Cauchi-Szegö kernel and the Shilov boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum matrix ball: the Cauchi-Szegö kernel and the Shilov boundary will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-11821