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𝔤 -quasi-Frobenius Lie algebras

David N. Pham (2016)

Archivum Mathematicum

A Lie version of Turaev’s G ¯ -Frobenius algebras from 2-dimensional homotopy quantum field theory is proposed. The foundation for this Lie version is a structure we call a 𝔤 -quasi-Frobenius Lie algebra for 𝔤 a finite dimensional Lie algebra. The latter consists of a quasi-Frobenius Lie algebra ( 𝔮 , β ) together with a left 𝔤 -module structure which acts on 𝔮 via derivations and for which β is 𝔤 -invariant. Geometrically, 𝔤 -quasi-Frobenius Lie algebras are the Lie algebra structures associated to symplectic...

[unknown]

Dihua Jiang, Baiying Liu (0)

Annales de l’institut Fourier

[unknown]

Ilia Smilga (0)

Annales de l’institut Fourier

[unknown]

Christophe Breuil (0)

Annales de l’institut Fourier

[unknown]

Selim Ghazouani (0)

Annales de l’institut Fourier

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