129 citations · 354 across the 36 of their papers we have counts for
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On the Hopf superalgebra of symmetric functions in superspace
Masamune Hattori, Renta Yagi, Shintarou Yanagida
We introduce a superspace analogue of combinatorial Hopf algebras (Aguiar-Bergeron-Sottile, 2006), and show that the Hopf superalgebra of quasi-symmetric (resp. symmetric) function…
Intermediate symplectic -functions
Shintarou Yanagida
We introduce an intermediate family of Laurent polynomials between Schur's -functions and S. Okada's symplectic -functions. It can also be regarded as a -function analogue…
Integrality of the simple Hurwitz numbers
Shintarou Yanagida
We show the integrality of the simple Hurwitz numbers. The main tool is the cut-and-join operator, and our proof is a purely combinatorial one.
A commutative algebra on degenerate CP^1 and Macdonald polynomials
B. Feigin, K. Hashizume, A. Hoshino +2
We introduce a unital associative algebra A over degenerate CP^1. We show that A is a commutative algebra and whose Poincar'e series is given by the number of partitions. Thereby w…