Dialgebras and Related Operads / Edition 1

Dialgebras and Related Operads / Edition 1

by J.-L. Loday, A. Frabetti, F. Chapoton, F. Goichot
     
 

ISBN-10: 3540421947

ISBN-13: 9783540421948

Pub. Date: 09/06/2001

Publisher: Springer Berlin Heidelberg

The main object of study of these four papers is the notion of associative dialgebras which are algebras equipped with two associative operations satisfying some more relations of the associative type. This notion is studied from a) the homological point of view: construction of the (co)homology theory with trivial coefficients and general coefficients, b) the

Overview

The main object of study of these four papers is the notion of associative dialgebras which are algebras equipped with two associative operations satisfying some more relations of the associative type. This notion is studied from a) the homological point of view: construction of the (co)homology theory with trivial coefficients and general coefficients, b) the operadic point of view: determination of the dual operad, that is the dendriform dialgebras which are strongly related with the planar binary trees, c) the algebraic point of view: Hopf structure and Milnor-Moore type theorem.

Product Details

ISBN-13:
9783540421948
Publisher:
Springer Berlin Heidelberg
Publication date:
09/06/2001
Series:
Lecture Notes in Mathematics Series, #1763
Edition description:
2001
Pages:
140
Product dimensions:
0.32(w) x 6.14(h) x 9.21(d)

Related Subjects

Table of Contents

Dialgebras.- Dialgebra (co)homology with coefficients.- Un endofoncteur de la catégorie des opérades.- Un théoréme de Milnor-Moore pour les algèbres de Leibniz.

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