19 citations · 34 across the 8 of their papers we have counts for
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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…
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…
A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra U_q(sl_{2}^)
B. Feigin, M. Jimbo, M. Kashiwara +3
Let (resp., ) be a fundamental integrable highest (resp., lowest) weight module of . The tensor product is filtered by…
Particle content of the (k,3)-configurations
B. Feigin, M. Jimbo, T. Miwa +2
For all , we construct a bijection between the set of sequences of non-negative integers satisfying and the set…
Fermionic formulas for (k, 3)-admissible configurations
B. Feigin, M. Jimbo, T. Miwa +2
We obtain the fermionic formulas for the characters of (k, r)-admissible configurations in the case of r=2 and r=3. This combinatorial object appears as a label of a basis of certa…
Symmetric polynomials vanishing on the diagonals shifted by roots of unity
B. Feigin, M. Jimbo, T. Miwa +2
For a pair of positive integers (k,r) with r>1 such that k+1 and r-1 are relatively prime, we describe the space of symmetric polynomials in variables x_1,...,x_n which vanish at a…