Results 91 to 100 of about 28,962 (144)

Combinatorial Hopf species and algebras from preorder cuts

open access: yes, 2023
We introduce new concepts and viewpoints on combinatorial Hopf species and algebras. We give a category ${\rm \bf set_{\mathbb{N}}}$ whose objects are sets, and (dualizable) morphisms represented by matrices of non-negative integers. For a bimonoid species $(B,Δ, μ)$ in ${\rm \bf set_{\mathbb{N}}}$ we may then dualize the product $μ$ to get two ...
openaire   +2 more sources

Operads for complex system design specification, analysis and synthesis. [PDF]

open access: yesProc Math Phys Eng Sci, 2021
Foley JD   +3 more
europepmc   +1 more source

Preordered forests, packed words and contraction algebras

open access: yes, 2013
We introduce the notions of preordered and heap-preordered forests, generalizing the construction of ordered and heap-ordered forests. We prove that the algebras of preordered and heap-preordered forests are Hopf for the cut coproduct, and we construct a
Mansuy, Anthony
core  

Combinatorial Hopf algebras

open access: yes, 2013
Cette thèse se situe dans le domaine de la combinatoire algébrique. Autrement dit, l'idée est d'utiliser des structures algébriques, en l'occurence des algèbres de Hopf combinatoires, pour mieux étudier et comprendre les objets combinatoires ainsi que des algorithmes de composition et de décomposition agissant sur ces objets.
openaire   +1 more source

Combinatorial Hopf algebra structure on packed square matrices

open access: yes, 2013
35 ...
Cheballah, Hayat   +2 more
openaire   +2 more sources

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