On affine Kac-Moody Lie algebras
Thomas N. Vougiouklis (1985)
Commentationes Mathematicae Universitatis Carolinae
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Thomas N. Vougiouklis (1985)
Commentationes Mathematicae Universitatis Carolinae
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de Graaf, W.A. (2005)
Experimental Mathematics
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Dietrich Burde (2006)
Open Mathematics
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In this survey article we discuss the origin, theory and applications of left-symmetric algebras (LSAs in short) in geometry in physics. Recently Connes, Kreimer and Kontsevich have introduced LSAs in mathematical physics (QFT and renormalization theory), where the name pre-Lie algebras is used quite often. Already Cayley wrote about such algebras more than hundred years ago. Indeed, LSAs arise in many different areas of mathematics and physics. We attempt to give a survey of the fields...
V.G. Kac, I.B. Frenkel (1980/81)
Inventiones mathematicae
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Hasiewicz, Zbigniew
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Chunyue Wang, Qingcheng Zhang (2018)
Czechoslovak Mathematical Journal
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We construct a 3-Lie 2-algebra from a 3-Leibniz algebra and a Rota-Baxter 3-Lie algebra. Moreover, we give some examples of 3-Leibniz algebras.