5 papers
A note on the submonoids of the tied-symmetric monoid containing the symmetric group
Diego Arcis
We show that the submonoids of the tied-symmetric monoid containing the symmetric group form a distributive lattice. Furthermore, we determine a minimal generating set for any such…
On the quasisymmetric functions in superspace
Diego Arcis, Camilo González, Sebastián Márquez
Quasisymmetric functions in superspace were introduced as a natural extension of classical quasisymmetric functions involving both commuting and anticommuting variables. In this pa…
Party-Hecke algebras
Diego Arcis, Jesús Juyumaya
Party-Hecke algebras are introduced as a two-parameter deformation of party algebras, where one parameter deforms the party generators and the other deforms the elementary transpos…
On framed rook algebras
Diego Arcis, Jorge Espinoza, Marcelo Flores
We introduce and study the framed rook algebra, a structure that unifies two significant generalizations of the Iwahori-Hecke algebra. The first one, introduced by Solomon, extends…
Symmetric functions in noncommuting variables in superspace
Diego Arcis, Camilo González, Sebastián Márquez
In 2004, Rosas and Sagan developed the theory of symmetric functions in noncommuting variables, achieving results analogous to classical symmetric functions. On the other hand, in…