5 citations · 8 across the 6 of their papers we have counts for
7 papers
Adjoint Representations of the Symmetric Group
Mahir Bilen Can, Miles Jones
We study the restriction to the symmetric group, $\mc{S}_n$ of the adjoint representation of $\mt{GL}_n(\C)$. We determine the irreducible constituents of the space of symmetric as…
Pieri rules for the Jack polynomials in superspace and the 6-vertex model
J. Gatica, M. Jones, L. Lapointe
We present Pieri rules for the Jack polynomials in superspace. The coefficients in the Pieri rules are, except for an extra determinant, products of quotients of linear factors in…
Pieri rules for Schur functions in superspace
Miles Jones, Luc Lapointe
The Schur functions in superspace and are the limits and respectively of the Macdonald polynomials in superspace. We prove Pieri rules for the…
Representing Graphs via Pattern Avoiding Words
Miles Jones, Sergey Kitaev, Artem Pyatkin +1
The notion of a word-representable graph has been studied in a series of papers in the literature. A graph is word-representable if there exists a word over the alpha…
Frame patterns in n-cycles
Miles Jones, Sergey Kitaev, Jeffrey Remmel
In this paper, we study the distribution of the number of occurrences of the simplest frame pattern, called the pattern, in -cycles. Given an -cycle , we say that a pa…
A reciprocity method for computing generating functions over the set of permutations with no consecutive occurrence of τ
Miles Eli Jones, Jeffrey B. Remmel
In this paper, we introduce a new method for computing generating functions with respect to the number of descents and left-to-right minima over the set of permutations which have…