J. Shibahara

most citedKernel function and quantum algebras

40 citations · 41 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2014★ 1 cited

Tableau Formulas for One-Row Macdonald Polynomials of Types $C_{n}$ and $D_{n}$

Boris Feigin, Ayumu Hoshino, Masatoshi Noumi +2

We present explicit formulas for the Macdonald polynomials of types $C_{n}$ and $D_{n}$ in the one-row case. In view of the combinatorial structure, we call them "tableau formulas". Fo…

math.QA2010★ 40 cited

Kernel function and quantum algebras

B. Feigin, A. Hoshino, J. Shibahara +2

We introduce an analogue $K_{n} (x, z; q, t)$ of the Cauchy-type kernel function for the Macdonald polynomials, being constructed in the tensor product of the ring of symmetric functions…

Tableau Formulas for One-Row Macdonald Polynomials of Types Cn​ and Dn​

Kernel function and quantum algebras

Tableau Formulas for One-Row Macdonald Polynomials of Types $C_{n}$ and $D_{n}$