Orbital theory for affine Lie algebras.

I.B. Frenkel

Displaying similar documents to “Orbital theory for affine Lie algebras.”

Basic Representations of Affine Lie Algebras and Dual Resonance Models.

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

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Reduction of Hamiltonian Systems, Affine Lie Algebras and Lax Equations.

A.G. Reymann, M. Semenov-Tian-Shansky (1979)

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Integrable representations of affine Lie-algebras.

V. Chari (1986)

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Affine Birman-Wenzl-Murakami algebras and tangles in the solid torus

Frederick M. Goodman, Holly Hauschild (2006)

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The affine Birman-Wenzl-Murakami algebras can be defined algebraically, via generators and relations, or geometrically as algebras of tangles in the solid torus, modulo Kauffman skein relations. We prove that the two versions are isomorphic, and we show that these algebras are free over any ground ring, with a basis similar to a well known basis of the affine Hecke algebra.

Reduction of Hamiltonian Systems, Affine Lie Algebras and Lax Equations II.

M. Semenov-Tian-Shansky, A.G. Reyman (1981)

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

Dietrich Burde (2006)

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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...