Essays about: "hom-Lie algebra"
Found 3 essays containing the words hom-Lie algebra.
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1. Examples of G-Hom-Associative Algebras
University essay from Mälardalens universitet/Akademin för utbildning, kultur och kommunikationAbstract : In this thesis we look at hom-associative algebras (which turn out to be exactly the G1-hom-associative algebras), by, in two and three dimensions, trying to find the structure constants for which an algebra becomes hom-associative when the homomorphism 𝛼 is defined as different matrix units. These algebras are also hom-Lie admissible (or G6-hom-associative, which turn out to be the same thing) with a commutator, so we also find the commutator for each of these hom-Lie admissible algebras. READ MORE
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2. Hom-Lie algebras and deformations
University essay from Mälardalens högskola/Akademin för utbildning, kultur och kommunikationAbstract : 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
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3. Twisted derivations, quasi-hom-Lie algebras and their quasi-deformations
University essay from Mälardalens högskola/Akademin för utbildning, kultur och kommunikationAbstract : 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