Generalizations of Lie algebras
type: Item
instance of: scholarly article
title: Generalizations of Lie algebras
zbMATH Open document ID: 1263.17006
published in: Advances in Applied Clifford Algebras
publication date: 2013-01-10T00:00:00Z
review text: This paper surveys recent developments on various generalizations of Lie algebras. The paper focuses on the following generalizations: superalgebras, color Lie algebras, Lie algebras in symmetric categories, free Lie \(\tau\)-algebras, tangent algebras to analytic loops, bialgebras and primitive elements, and non-associative Hopf algebras. A major part of the paper treats Lie algebras in symmetric categories. The reader will find definitions, some examples, lists of basic properties and sometimes some open problems related to all algebras from the above list.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 17B05
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B75
Mathematics Subject Classification ID: 16T05
Mathematics Subject Classification ID: 16T20
zbMATH DE Number: 6123915
zbMATH Keywords: Lie algebra
zbMATH Keywords: superalgebra
zbMATH Keywords: Hopf algebra
zbMATH Keywords: primitive element
author: V. K. Kharchenko
author: Ivan Shestakov
MaRDI profile type: Publication
full work available at URL: s00006-012-0357-1
OpenAlex ID: W2086385264
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Generalizations of Lie algebras (DOI)
DOI: 10.1007/S00006-012-0357-1