4 citations · 4 across the 5 of their papers we have counts for
5 papers
Rationality, irrationality, and Wilf equivalence in generalized factor order
Sergey Kitaev, Jeffrey Liese, Jeffrey Remmel +1
Let be a partially ordered set and consider the free monoid of all words over . If then is a factor of if there are words with . D…
The Combinatorics of the Garsia-Haiman Modules for Hook Shapes
Ron M. Adin, Jeffrey B. Remmel, Yuval Roichman
Several bases of the Garsia-Haiman modules for hook shapes are given, as well as combinatorial decomposition rules for these modules. These bases and rules extend the classical one…
Counting descents, rises, and levels, with prescribed first element, in words
Sergey Kitaev, Toufik Mansour, Jeffrey B. Remmel
Recently, Kitaev and Remmel [Classifying descents according to parity, Annals of Combinatorics, to appear 2007] refined the well-known permutation statistic ``descent'' by fixing p…
Classifying Descents According to Parity
Sergey Kitaev, Jeffrey Remmel
In this paper we refine the well-known permutation statistic "descent" by fixing parity of (exactly) one of the descent's numbers. We provide explicit formulas for the distribution…
A Combinatorial Formula for the Character of the Diagonal Coinvariants
J. Haglund, M. Haiman, N. Loehr +2
Let R_n be the ring of coinvariants for the diagonal action of the symmetric group S_n. It is known that the character of R_n as a doubly-graded S_n module can be expressed using t…