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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...
| Autores principales: | , , , |
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| Lenguaje: | eng |
| Publicado: |
Springer
2001
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1007/b80864 http://cds.cern.ch/record/1691410 |
| _version_ | 1780935747154477056 |
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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. |
| id | cern-1691410 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2001 |
| publisher | Springer |
| record_format | invenio |
| 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 |