Dialgebras and Related Operads
Jean-Louis Loday, Frédéric Chapoton, Alessandra Frabetti, François Goichot (auth.)
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.
Catégories:
Année:
2001
Edition:
1
Editeur::
Springer-Verlag Berlin Heidelberg
Langue:
english
Pages:
140
ISBN 10:
3540421947
ISBN 13:
9783540421948
Collection:
Lecture Notes in Mathematics 1763
Fichier:
DJVU, 1.19 MB
IPFS:
,
english, 2001
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