45 citations · 51 across the 6 of their papers we have counts for
6 papers
The connection problem associated with a Selberg type integral and the -Racah polynomials
Katsuhisa Mimachi
The connection problem associated with a Selberg type integral is solved. The connection coefficients are given in terms of the -Racah polynomials. As an application of the expl…
Regularizable cycles associated with a Selberg type integral under some resonance condition
Katsuhisa Mimachi, Masaaki Yoshida
We study the twisted homology group attached to a Selberg type integral under some resonance condition, which naturally appears in the su_2-conformal field theory and the represent…
Intersection numbers of twisted cycles and the correlation functions of the conformal field theory II
Katsuhisa Mimachi, Masaaki Yoshida
We evaluate the intersection numbers of loaded cycles and twisted forms associated with an n-fold Selberg-type integral. The result is deeply related with the geometry of the confi…
Eigenfunctions of Macdonald's -difference operator for the root system of type
Katsuhisa Mimachi
We construct an integral representation of eigenfunctions for Macdonald's -difference operator associated with the root system of type It is given in terms of a restrict…
A solution of the quantum Knizhnik Zamolodchikov equation of type
K. Mimachi
We construct a solution of Cherednik's quantum Knizhnik Zamolodchikov equation associated with the root system of type . This solution is given in terms of a restriction of a…
A new derivation of the inner product formula for the Macdonald symmetric polynomials
Katsuhisa Mimachi
We give a short proof of the inner product conjecture for the symmetric Macdonald polynomials of type . As a special case, the corresponding constant term conjecture is al…