5 citations · 8 across the 5 of their papers we have counts for
5 papers
The Primitive Eulerian polynomial
Jose Bastidas, Christophe Hohlweg, Franco Saliola
We introduce the Primitive Eulerian polynomial of a central hyperplane arrangement . It is a reparametrization of its cocharacteristic polynomial. Previou…
Left Regular Bands of Groups and the Mantaci--Reutenauer algebra
Jose Bastidas, Sarah Brauner, Franco Saliola
We develop the idempotent theory for algebras over a class of semigroups called left regular bands of groups (LRBGs), which simultaneously generalize group algebras of finite group…
Associahedra, cyclohedra and inversion of power series
Marcelo Aguiar, Jose Bastidas
We introduce the Hopf monoid of sets of cycles and paths, which contains the Faà di Bruno Hopf monoid as a submonoid. We give cancellation-free and grouping-free formulas for its a…
The polytope algebra of generalized permutahedra
Jose Bastidas
The polytope subalgebra of deformations of a zonotope can be endowed with the structure of a module over the Tits algebra of the corresponding hyperplane arrangement. We explore th…
Characteristic elements for real hyperplane arrangements
Marcelo Aguiar, Jose Bastidas, Swapneel Mahajan
Characteristic elements of the Tits algebra of a real hyperplane arrangement carry information about the characteristic polynomial. We present this notion and its basic properties,…