ENGLISH

Modules over Operads and Functors

By Benoit Fresse (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2009
ISBN
3540890556, 9783540890553
DOI
10.1007/978-3-540-89056-0
Language
english
Format
PDF
Filesize
3 MB (2829645 bytes)
Series
Lecture Notes in Mathematics 1967
Edition
1
Pages
314\289
Topic
Mathematics
Scanned
no
Time added
2011-06-04 13:46:07
Algebraic Topology; Category TheoryHomological Algebra

Description

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.

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