Zeros of Symmetric Laurent Polynomials of Type $(BC)_n$ and Koornwinder-Macdonald Polynomials Specialized at $t^{k+1}q^{r-1}=1$

Details Zeros of Symmetric Laurent Polynomials of Type $(BC)_n$ and Koornwinder-Macdonald Polynomials Specialized at $t^{k+1}q^{r-1}=1$ Zeros of Symmetric Laurent Polynomials of Type $(BC)_n$ and Koornwinder-Macdonald Polynomials Specialized at $t^{k+1}q^{r-1}=1$

2003-12-17

arxiv.org/abs/math/0312327v3

Mathematics

Quantum Algebra

15 pages, self-duality condition is not necessary, so it is removed

Scientific paper

A characterization of the space of symmetric Laurent polynomials of type $(BC)_n$ which vanish on a certain set of submanifolds is given by using the Koornwinder-Macdonald polynomials. A similar characterization was given previously for symmetric polynomials of type $A_n$ by using the Macdonald polynomials. We use a new method which exploits the duality relation. The method simplifies a part of the proof in the $A_n$ case.

Affiliated with

Also associated with

No associations

Rating

Zeros of Symmetric Laurent Polynomials of Type $(BC)_n$ and Koornwinder-Macdonald Polynomials Specialized at $t^{k+1}q^{r-1}=1$ 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 Zeros of Symmetric Laurent Polynomials of Type $(BC)_n$ and Koornwinder-Macdonald Polynomials Specialized at $t^{k+1}q^{r-1}=1$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zeros of Symmetric Laurent Polynomials of Type $(BC)_n$ and Koornwinder-Macdonald Polynomials Specialized at $t^{k+1}q^{r-1}=1$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-592530