Hopf algebras in non-associative Lie theory

Hopf algebras in non-associative Lie theory

We review the developments in the Lie theory for non-associative products from 2000 to date and describe the current understanding of the subject in view of the recent works, many of which use non-associative Hopf algebras as the main tool.

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Veröffentlicht in:Bulletin of mathematical sciences 2014, Vol.4 (1), p.129-173
Hauptverfasser: Mostovoy, J., Perez-Izquierdo, J. M., Shestakov, I. P.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We review the developments in the Lie theory for non-associative products from 2000 to date and describe the current understanding of the subject in view of the recent works, many of which use non-associative Hopf algebras as the main tool.
ISSN:1664-3607
1664-3615
DOI:10.1007/s13373-013-0049-8