Nonsymmetric operads in combinatorics / Samuele Giraudo.
Giraudo, Samuele, author.
2018
QA169
Available Online

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Title Nonsymmetric operads in combinatorics / Samuele Giraudo.
Author Giraudo, Samuele, author.
ISBN 9783030020743 (electronic book)
3030020746 (electronic book)
9783030020736
3030020738
DOI https://doi.org/10.1007/978-3-030-02074-3
Published Cham : Springer, [2018]
Copyright ©2018
Language English
Description 1 online resource
Item Number 10.1007/978-3-030-02074-3 doi
Call Number QA169
Dewey Decimal Classification 512/.62
Summary 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource ; title from PDF title page (viewed January 10, 2019).
Available in Other Form Print version: 9783030020736
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Combinatorial Structures
Trees and rewrite rules
Combinatorial operands
Main combinatorial operands
Constructions, applications and generalizations.

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