134 citations · 620 across the 41 of their papers we have counts for
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Differential equations compatible with boundary rational qKZ equation
Yoshihiro Takeyama
We give differential equations compatible with the rational qKZ equation with boundary reflection. The total system contains the trigonometric degeneration of the bispectral qKZ eq…
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
Saburo Kakei, Michitomo Nishizawa, Yoshihisa Saito +1
We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra . The main ingredient is a special class of the shifted…
A -filtration of the Virasoro minimal series M(p,p') with 1<p'/p< 2
B. Feigin, E. Feigin, M. Jimbo +2
The filtration of the Virasoro minimal series representations M^{(p,p')}_{r,s} induced by the (1,3)-primary field is studied. For 1< p'/p< 2, a conjectural basis of M^…
Sets of rigged paths with Virasoro characters
B. Feigin, M. Jimbo, T. Miwa +2
Let \{M_{r,s}\}_{0< r < p, 0< s < p'} be the irreducible Virasoro modules in the -minimal series. In our previous paper, we have constructed a monomial basis of \oplus_{r=1…
A monomial basis for the Virasoro minimal series M(p,p') : the case 1<p'/p<2
B. Feigin, M. Jimbo, T. Miwa +2
Quadratic relations of the intertwiners are given explicitly in two cases of chiral conformal field theory, and monomial bases of the representation spaces are constructed by using…
On relations for the -multiple zeta values
Jun-ichi Okuda, Yoshihiro Takeyama
We prove some relations for the -multiple zeta values (MZV). They are -analogues of the cyclic sum formula, the Ohno relation and the Ohno-Zagier relation for the multiple…