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Bijective 1-Cocycles and Classification of 3-Dimensional Left-Symmetric Algebras.
- Source :
-
Communications in Algebra . Mar2009, Vol. 37 Issue 3, p1016-1057. 42p. - Publication Year :
- 2009
-
Abstract
- Left-symmetric algebras have close relations with many important fields in mathematics and mathematical physics. Their classification is very complicated due to the nonassociativity. In this article, we re-study the correspondence between left-symmetric algebras and the bijective 1-cocycles. Then a procedure is provided to classify left-symmetric algebras in terms of classification of equivalent classes of bijective 1-cocycles. As an example, the 3-dimensional complex left-symmetric algebras are classified. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 37
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 36801185
- Full Text :
- https://doi.org/10.1080/00927870802279030