19 citations · 41 across the 7 of their papers we have counts for
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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…
Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials
B. Feigin, M. Jimbo, T. Miwa +1
For each pair (k,r) of positive integers with r>1, we consider an ideal I^(k,r)_n of the ring of symmetric polynomials in n variables. The ideal I_n^(k,r) has a basis consisting of…
A construction of level 1 irreducible modules for using level 2 intertwiners for
Boris Feigin, Jin Hong, Tetsuji Miwa
We bosonize certain components of level -intertwiners of -dimensions. For , these intertwiners, after certain modification by bosonic…