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Nonsymmetric Operads in Combinatorics

Nonsymmetric Operads in Combinatorics

Hardback (18 Jan 2019)

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Publisher's Synopsis

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.

Book information

ISBN: 9783030020736
Publisher: Springer International Publishing
Imprint: Springer
Pub date:
Language: English
Number of pages: 172
Weight: 454g
Height: 235mm
Width: 155mm
Spine width: 13mm