Algebraic Operads

• Main Authors: Loday, Jean-Louis (Author), Vallette, Bruno (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 346
• Subjects: Mathematics.; Category theory (Mathematics).; Homological algebra.; Nonassociative rings.; Rings (Algebra).; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Category Theory, Homological Algebra.; Non-associative Rings and Algebras.; Algebraic Topology.; Manifolds and Cell Complexes (incl. Diff.Topology).

In many areas of mathematics some “higher operations” are arising. These have become so important that several research projects refer to such expressions. Higher operations form new types of algebras. The key to understanding and comparing them, to creating invariants of their action is operad theo...