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math.RT2026
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…
math.CO2026
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…
math.RT2026
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…