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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| Format: | eBook |
| Language: | English French |
| Language Notes: | English and French. |
| Published: |
Berlin ; New York :
Springer,
[2001]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1763. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (133 pages) : illustrations. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9783540453284 (electronic bk.) 3540453288 (electronic bk.) |
| ISSN: | 0075-8434 ; |