Essays about: "Virasoro algebra"

Found 2 essays containing the words Virasoro algebra.

1. 1. On Levi Decompositions in Finite and Infinite Dimensional Lie Algebras

   University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Author : Hannes Nilsson; [2021]
   Keywords : Lie algebra; Levi s theorem; Cohomology; Virasoro algebra; Mathematics and Statistics;

   Abstract : In this bachelor thesis we introduce Lie algebras, and use Lie algebra cohomology to prove Levi's theorem about splitting of finite dimensional Lie algebras. We then construct the Virasoro algebra, compute its low dimensional cohomology spaces, and use this to demonstrate why Levi's theorem does not hold in the infinite dimensional case... READ MORE

3. 2. 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