Masahiro Kasatani

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


Abstract

We discuss symmetric Laurent polynomials satisfying certain zero 
conditions.  We characterize them by self-dual Koornwinder-Macdonald 
polynomials. This extends the result on Macdolald symmetric polynomials 
shown by B.Feigin, M.Jimbo, T.Miwa, E.Mukhin.