Dialgebras and Related Operads (Lecture Notes in Mathematics #1763) (Paperback)

Dialgebras and Related Operads (Lecture Notes in Mathematics #1763) By J. -L Loday, A. Frabetti, F. Chapoton Cover Image

Dialgebras and Related Operads (Lecture Notes in Mathematics #1763) (Paperback)

$49.95


Not On Our Shelves—Ships in 1-5 Days
(This book cannot be returned.)
four The of this volume deal with new notions of whose papers algebras feature is common to have two So are called generating operations. they dial- bras. The first motivation to introduce such structures a algebraic was problem in It turned out later that some of them dendriform algebraic K-theory. (the related are to in the of ren- dialgebras) closely Hopf algebras occuring theory malization of A. Connes and D. Kreimer. are also related to the They closely notion of Gerstenhaber homotopy algebra. Let us first describe the motivation from The algebraic K-theory. al- braic of a are not like the but K-groups ring periodic topological K-groups, of of some them shows the existence of a computation periodicity phenomenon. For instance the 0 are of 4 for > 2. The groups K, (Z) Q periodic period n are constructed on the linear GL. If algebraic K-groups general we - group it its additive that is the Lie then the place by counterpart, algebra gl, analogue of is: it is denoted HC. It algebraic K-theory computable cyclic homology, turns that for out this the is well understood. theory periodicity phenomenon It takes the form of a exact: long sequence - - - -+ -.+ -4 HCn_1 HH, -+ HC, --+ HCn-2 HCn+1 where HHstands for Hochschild In other homology. words, cyclic homology is not but the obstruction to is it is periodic (in general) periodicity known, Hochschild homology.
Product Details ISBN: 9783540421948
ISBN-10: 3540421947
Publisher: Springer
Publication Date: July 17th, 2001
Pages: 140
Language: English
Series: Lecture Notes in Mathematics