Essays about: "quasi-Lie algebra"

Found 2 essays containing the words quasi-Lie algebra.

1. 1. Hom-Lie algebras and deformations

   University essay from Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

   Author : Germán García Butenegro; [2019]
   Keywords : Lie; Hom-Lie; quasi-Lie; derivations; Witt; Virasoro; central extensions.;

   Abstract : Document intends to re-establish Hom-Lie algebra theory for a wider class of morphisms on the underlying coefficient algebra. A look is taken into deformed Witt and Virasoro algebras and a new direction is taken into further quasi-Hom-Lie VIrasoro-type extensions for different Witt algebras. .. READ MORE

3. 2. Twisted derivations, quasi-hom-Lie algebras and their quasi-deformations

   University essay from Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

   Author : Philip Bergander; [2017]
   Keywords : quasi-hom-Lie algebra; hom-Lie algebra; Lie algebra; Twisted derivation; sigma derivation; quasi-Lie algebra; derivation; quasi deformation; quasi-deformation; twisted vector field; polynomial algebra; quotient ring;

   Abstract : Quasi-hom-Lie algebras (qhl-algebras) were introduced by Larsson and Silvestrov (2004) as a generalisation of hom-Lie algebras, which are a deformation of Lie algebras. Lie algebras are defined by an operation called bracket, [·,·], and a three-term Jacobi identity. READ MORE