Covariant q-differential operators and unitary highest weight representations for U_q su(n,n)

Details Covariant q-differential operators and unitary highest weight representations for U_q su(n,n) Covariant q-differential operators and unitary highest weight representations for U_q su(n,n)

2005-08-09

arxiv.org/abs/math/0508169v1

Journal of Mathematical Physics 46, Issue 6 (2005)

Mathematics

Quantum Algebra

26 pages

Scientific paper

10.1063/1.1927077

We investigate a one-parameter family of quantum Harish-Chandra modules of U_q sl(2n). This family is an analog of the holomorphic discrete series of representations of the group SU(n,n) for the quantum group U_q su(n, n). We introduce a q-analog of "the wave" operator (a determinant-type differential operator) and prove certain covariance property of its powers. This result is applied to the study of some quotients of the above-mentioned quantum Harish-Chandra modules. We also prove an analog of a known result by J.Faraut and A.Koranyi on the expansion of reproducing kernels which determines the analytic continuation of the holomorphic discrete series.

Affiliated with

Also associated with

No associations

Rating

Covariant q-differential operators and unitary highest weight representations for U_q su(n,n) 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 Covariant q-differential operators and unitary highest weight representations for U_q su(n,n), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Covariant q-differential operators and unitary highest weight representations for U_q su(n,n) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577044