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Dialgebras and related operads

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 the...

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Detalles Bibliográficos
Autores principales: Loday, Jean-Louis, Chapoton, Frédéric, Frabetti, Alessandra, Goichot, François
Lenguaje:eng
Publicado: Springer 2001
Materias:
Acceso en línea:https://dx.doi.org/10.1007/b80864
http://cds.cern.ch/record/1691410
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author Loday, Jean-Louis
Chapoton, Frédéric
Frabetti, Alessandra
Goichot, François
author_facet Loday, Jean-Louis
Chapoton, Frédéric
Frabetti, Alessandra
Goichot, François
author_sort Loday, Jean-Louis
collection CERN
description 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.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2001
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spelling cern-16914102021-04-21T21:10:10Zdoi:10.1007/b80864http://cds.cern.ch/record/1691410engLoday, Jean-LouisChapoton, FrédéricFrabetti, AlessandraGoichot, FrançoisDialgebras and related operadsMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:16914102001
spellingShingle Mathematical Physics and Mathematics
Loday, Jean-Louis
Chapoton, Frédéric
Frabetti, Alessandra
Goichot, François
Dialgebras and related operads
title Dialgebras and related operads
title_full Dialgebras and related operads
title_fullStr Dialgebras and related operads
title_full_unstemmed Dialgebras and related operads
title_short Dialgebras and related operads
title_sort dialgebras and related operads
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/b80864
http://cds.cern.ch/record/1691410
work_keys_str_mv AT lodayjeanlouis dialgebrasandrelatedoperads
AT chapotonfrederic dialgebrasandrelatedoperads
AT frabettialessandra dialgebrasandrelatedoperads
AT goichotfrancois dialgebrasandrelatedoperads