On Poisson-Malcev Structures

On Poisson-Malcev Structures

Malcev-Poisson structure on a manifold is analogous to a Poisson structure with the Lie identity replaced by a slightly more general Malcev identity. Examples of such structures arise naturally. In the second part of the paper we study Malcev bialgebras. A theorem of characterization is proved. [PUB...

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Veröffentlicht in:Acta applicandae mathematicae 2003-01, Vol.75 (1-3), p.281
1. Verfasser: Vershinin, Vladimir V
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie groups
Mathematical functions
Mathematical models
Mathematics
Studies
Online-Zugang:Volltext
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Zusammenfassung:Malcev-Poisson structure on a manifold is analogous to a Poisson structure with the Lie identity replaced by a slightly more general Malcev identity. Examples of such structures arise naturally. In the second part of the paper we study Malcev bialgebras. A theorem of characterization is proved. [PUBLICATION ABSTRACT]
ISSN:0167-8019
1572-9036
DOI:10.1023/A:1022300431291