Set Operads in Combinatorics and Computer Science

• Main Author: Méndez, Miguel A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Operator theory.; Special functions.; System theory.; Special Functions.; Complex Systems.; Operator Theory.

This monograph has two main objectives. The first one is to give a self-contained exposition of the relevant facts about set operads, in the context of combinatorial species and its operations. This approach has various advantages: one of them is that the definition of combinatorial operations on sp...

Table of Contents:

• Introduction
• Preliminaries on Species and Set Operads
• Operations on Species and Set Operads
• Decomposition Theory
• Rigid Operads
• Posets from Cancellative Operads and Koszul Duality
• Appendix.