Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0.

Thomas Siebert

Displaying similar documents to “Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0.”

Affine varieties and Lie algebras of vector fields.

Gerd Müller, Herwig Hauser (1993)

Manuscripta mathematica

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Basic Representations of Affine Lie Algebras and Dual Resonance Models.

V.G. Kac, I.B. Frenkel (1980/81)

Inventiones mathematicae

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

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...

Triangular Lie bialgebras and matched pairs for Lie algebras of real vector fields on $S^{1}$ .

Leitenberger, Frank (1994)

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Contractions of Lie algebras and algebraic groups

Dietrich Burde (2007)

Archivum Mathematicum

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Degenerations, contractions and deformations of various algebraic structures play an important role in mathematics and physics. There are many different definitions and special cases of these notions. We try to give a general definition which unifies these notions and shows the connections among them. Here we focus on contractions of Lie algebras and algebraic groups.