Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1967)
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Table of contents (21 chapters)
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Categorical and operadic background
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The category of right modules over operads and functors
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Homotopical background
Keywords
About this book
The notion of an operad supplies both a conceptual and effective device to handle a variety of algebraic structures in various situations. Operads were introduced 40 years ago in algebraic topology in order to model the structure of iterated loop spaces. Since then, operads have been used fruitfully in many fields of mathematics and physics.
This monograph begins with a review of the basis of operad theory. The main purpose is to study structures of modules over operads as a new device to model functors between categories of algebras as effectively as operads model categories of algebras.
Bibliographic Information
Book Title: Modules over Operads and Functors
Authors: Benoit Fresse
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-89056-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Softcover ISBN: 978-3-540-89055-3Published: 27 March 2009
eBook ISBN: 978-3-540-89056-0Published: 20 April 2009
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 314
Topics: Algebra, Algebraic Topology, Category Theory, Homological Algebra