Modules over Operads and Functors

Modules over Operads and Functors

Benoit Fresse (auth.)
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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.

Categories:
Year:
2009
Edition:
1
Publisher:
Springer-Verlag Berlin Heidelberg
Language:
english
Pages:
314
ISBN 10:
3540890556
ISBN 13:
9783540890553
Series:
Lecture Notes in Mathematics 1967
File:
PDF, 2.70 MB
IPFS:
CID , CID Blake2b
english, 2009
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