Essays about: "Liegrupper"
Found 4 essays containing the word Liegrupper.
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1. Spin Representations, Clifford Algebras and Spinors
University essay from Uppsala universitet/Matematiska institutionenAbstract : We begin by giving some theoretical background to the underlying concepts of spin representations and spinors. This is done from the perspective of Lie groups and Lie algebras. In particular, we discuss the functionality of Clifford algebras in the determination of the double-covering spin groups. READ MORE
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2. Invariant Extended Kalman Filter for Measurements on Lie Groups
University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)Abstract : Since its creation, the extended Kalman filter (EKF) has become an industry standard for state estimation. However, the EKF is designed for Euclidean spaces, which causes challenges when adapting it to non-Euclidean spaces such as Lie groups, which includes 3D attitude. READ MORE
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3. Local Rigidity of Some Lie Group Actions
University essay from KTH/Matematik (Avd.)Abstract : In this paper we study local rigidity of actions of simply connected Lie groups. In particular, we apply the Nash-Moser inverse function theorem to give sufficient conditions for the action of a simply connected Lie group to be locally rigid. Let $G$ be a Lie group, $H < G$ a simply connected subgroup and $\Gamma < G$ a cocompact lattice. READ MORE
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4. Overview of Lie Groups and Their Lie Algebras
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : Intuitively, Lie groups are groups that are also smooth. The aim of this thesis is to describe how Lie groups are defined as smooth manifolds, and to look into their properties. To each Lie group there exists an associated vector space, which is called the Lie algebra of the Lie group. READ MORE
