68 citations · 259 across the 24 of their papers we have counts for
26 papers
Representations of the quasi-partition algebras
Rosa Orellana, Nancy Wallace, Mike Zabrocki
The quasi-partition algebras were introduced by Daugherty and the first author as centralizers of the symmetric group. In this article, we give a more general definition of these a…
Marked graphs and the chromatic symmetric function
José Aliste-Prieto, Anna de Mier, Rosa Orellana +1
The main result of this paper is the introduction of marked graphs and the marked graph polynomials (-polynomial) associated with them. These polynomials can be defined via a de…
Plethysm and the algebra of uniform block permutations
Rosa Orellana, Franco Saliola, Anne Schilling +1
We study the representation theory of the uniform block permutation algebra in the context of the representation theory of factorizable inverse monoids. The uniform block permutati…
Howe duality of the symmetric group and a multiset partition algebra
Rosa Orellana, Mike Zabrocki
We introduce the multiset partition algebra, , that has bases elements indexed by multiset partitions, where is an indeterminate and and are non-ne…
A combinatorial model for the decomposition of multivariate polynomial rings as -modules
Rosa Orellana, Mike Zabrocki
We consider the symmetric group -module of the polynomial ring with sets of commuting variables and sets of anti-commuting variables and show that the multipl…
An insertion algorithm on multiset partitions with applications to diagram algebras
Laura Colmenarejo, Rosa Orellana, Franco Saliola +2
We generalize the Robinson-Schensted-Knuth algorithm to the insertion of two row arrays of multisets. This generalization leads to new enumerative results that have representation…