Essays about: "Lie Bracket"

Found 3 essays containing the words Lie Bracket.

  1. 1. 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

  3. 2. Basic quantisation rules of semiclassical analysis

    University essay from Uppsala universitet/Analys och sannolikhetsteori

    Author : Anders Israelsson; [2016]
    Keywords : Semiclassical analysis; Gårding inequality; Borel Theorem; Kohn-Nirenberg; Weyl; Quantization; Symbol; Asympotic expansion; Schwartz space; Tempered distribution; Pseudodifferential operator; Fourier transform; Stationary phase; Microlocal analysis; Oscillatory integral; Poisson Bracket; Lie Bracket;

    Abstract : Semiclassical analysis is the study of how to connect classical mechanics with quantummechanics in a mathematically rigorous way. What is crucial for quantum mechanics isthat the operators that occur are self-adjoint and map a subset of L2 into L2. This hasbeen proven in this thesis. READ MORE

  4. 3. Underwater Locomotion of Swimming Cylinders

    University essay from Lunds universitet/Institutionen för reglerteknik

    Author : Helena Andreas; [1997]
    Keywords : Underwater locomotion; Irrotational fluif; Deformation; Lie bracket motion; Optimal control; Technology and Engineering;

    Abstract : The object of this thesis is to explore of a planar, almost circular amoeba, can move efficiently in an inviscid fluid. We investigate a homogenous amoeba and a heterogeneous amoeba and find that motion is possible for both using the physical fact that more work is needed when moving a bulky body in a fluid than when moving a small body of the same mass. READ MORE