Nonsymmetric operads in combinatorics / Samuele Giraudo.
2018
QA169
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Title
Nonsymmetric operads in combinatorics / Samuele Giraudo.
Author
Giraudo, Samuele, author.
ISBN
9783030020743 (electronic book)
3030020746 (electronic book)
9783030020736
3030020738
3030020746 (electronic book)
9783030020736
3030020738
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.
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Includes bibliographical references.
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Access limited to authorized users.
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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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Table of Contents
Combinatorial Structures
Trees and rewrite rules
Combinatorial operands
Main combinatorial operands
Constructions, applications and generalizations.
Trees and rewrite rules
Combinatorial operands
Main combinatorial operands
Constructions, applications and generalizations.