Bijective 1-cocycles and classification of 3-dimensional Left-symmetric Algebras

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dc.creatorBai, Chengming
dc.date2007-10-13
dc.date.accessioned2026-07-07T12:57:54Z
dc.date.available2026-07-07T12:57:54Z
dc.descriptionLeft-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 paper, 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.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0710.2609
dc.identifierhttp://arxiv.org/abs/0710.2609
dc.identifierCommunications in Algebra 37 (2009) 1016-1057
dc.identifierdoi:10.1080/00927870802279030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225066
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject17B, 81R
dc.titleBijective 1-cocycles and classification of 3-dimensional Left-symmetric Algebras
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