Lecture Notes in Mathematics
cover

Modules over Operads and Functors

Authors: Fresse, Benoit

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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.

Table of contents (21 chapters)

Table of contents (21 chapters)
  • Introduction

    Pages 1-13

    Fresse, Benoit

  • Symmetric monoidal categories for operads

    Pages 21-34

    Fresse, Benoit

  • Symmetric objects and functors

    Pages 1-18

    Fresse, Benoit

  • Operads and algebras in symmetric monoidal categories

    Pages 53-76

    Fresse, Benoit

  • Miscellaneous structures associated to algebras over operads

    Pages 77-93

    Fresse, Benoit

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-3-540-89056-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.99
price for USA in USD
  • ISBN 978-3-540-89055-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Modules over Operads and Functors
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1967
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-89056-0
DOI
10.1007/978-3-540-89056-0
Softcover ISBN
978-3-540-89055-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 314
Topics