8 citations · 15 across the 3 of their papers we have counts for
3 papers
math.RT2008★ 8 cited
The polynomial representation of the double affine Hecke algebra of type for specialized parameters
Masahiro Kasatani
In this paper, we study the polynomial representation of the double affine Hecke algebra of type for specialized parameters. Inductively and combinatorially, we g…
math.QA2004★ 5 cited
Coincident root loci and Jack and Macdonald polynomials for special values of the parameters
M. Kasatani, T. Miwa, A. N. Sergeev +1
We consider the coincident root loci consisting of the polynomials with at least two double roots andpresent a linear basis of the corresponding ideal in the algebra of symmetric p…
math.QA2003★ 2 cited
Zeros of Symmetric Laurent Polynomials of Type and Koornwinder-Macdonald Polynomials Specialized at
Masahiro Kasatani
A characterization of the space of symmetric Laurent polynomials of type which vanish on a certain set of submanifolds is given by using the Koornwinder-Macdonald polynomi…