Left-symmetric algebras, or pre-Lie algebras in geometry and physics

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Left-symmetric algebras, or pre-Lie algebras in geometry and physics

In this survey article we discuss the origin, theory and applications of left-symmetric algebras (LSAs in short) in geometry and 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 aris...

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ژورنال

عنوان ژورنال: Central European Journal of Mathematics

سال: 2006

ISSN: 1895-1074,1644-3616

DOI: 10.2478/s11533-006-0014-9