Nonsymmetric Operads in Combinatorics - Archive ouverte HAL Accéder directement au contenu
Ouvrages Année : 2018

Nonsymmetric Operads in Combinatorics

Résumé

Operads are algebraic devices offering a formalization of the concept of operations with several inputs and one output. Such operations can be naturally composed to form more complex ones. Coming historically from algebraic topology, operads intervene now as important objects in computer science and in combinatorics. A lot of operads involving combinatorial objects highlight some of their properties and allow to discover new ones. This book portrays the main elements of this theory under a combinatorial point of view and exposes the links it maintains with computer science and combinatorics. Examples of operads appearing in combinatorics are studied. The modern treatment of operads consisting in considering the space of formal power series associated with an operad is developed. Enrichments of nonsymmetric operads as colored, cyclic, and symmetric operads are reviewed.

Dates et versions

hal-02080929 , version 1 (27-03-2019)

Identifiants

Citer

Samuele Giraudo. Nonsymmetric Operads in Combinatorics. Springer International Publishing, 2018, 978-3-030-02073-6. ⟨10.1007/978-3-030-02074-3⟩. ⟨hal-02080929⟩
327 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More