From the 1 of 5 linked papers with an AI index.
5 papers
A memorial tribute: Adriano Garsia (1928--2024)
Hélène Barcelo, Hélène Barcelo, François Bergeron +18
The paper is a biographical tribute honoring the life and career of mathematician Adriano Garsia, outlining his personal background, education, and academic positions.
When are Hopf algebras determined by integer sequences?
Nicolas Andrews, Lucas Gagnon, Félix Gélinas +2
We study the category of graded Hopf algebras that are free noncommutative, cocommutative, graded and connected from the perspective of the sequences of dimensions of the graded pi…
A geometric and generating function approach to plethysm
Ãlvaro Gutiérrez, Rosa Orellana, Franco Saliola +2
Plethysm coefficients are the structure coefficients of the plethysm of Schur functions . We study a bivar…
From quasi-symmetric to Schur expansions with applications to symmetric chain decompositions and plethysm
Rosa Orellana, Franco Saliola, Anne Schilling +1
It is an important problem in algebraic combinatorics to deduce the Schur function expansion of a symmetric function whose expansion in terms of the fundamental quasisymmetric func…
The lattice of submonoids of the uniform block permutations containing the symmetric group
Rosa Orellana, Franco Saliola, Anne Schilling +1
We study the lattice of submonoids of the uniform block permutation monoid containing the symmetric group (which is its group of units). We prove that this lattice is distributive…