Reducibility of the polynomial representation of the degenerate double affine Hecke algebra

Details Reducibility of the polynomial representation of the degenerate double affine Hecke algebra Reducibility of the polynomial representation of the degenerate double affine Hecke algebra

2007-06-28

arxiv.org/abs/0706.4308v1

Mathematics

Quantum Algebra

7 pages, latex

Scientific paper

In this note we determine the values of parameters c for which the polynomial representation of the degenerate double affine Hecke algebra (DAHA), i.e. the trigonometric Cherednik algebra, is reducible. Namely, we show that c is a reducibility point for the polynomial representation of the trigonometric Cherednik algebra for a root system R if and only if it is a reducibility point for the rational Cherednik algebra for the Weyl group of some root subsystem R' of R of the same rank; such subsystems for any R are given by the well known Borel-de Siebenthal algorithm. This result has been proved by Cherednik using a case-by-case method.

Affiliated with

Also associated with

No associations

Rating

Reducibility of the polynomial representation of the degenerate double affine Hecke algebra 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 Reducibility of the polynomial representation of the degenerate double affine Hecke algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reducibility of the polynomial representation of the degenerate double affine Hecke algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-457398