Essays about: "Irreducible representations"
Showing result 1 - 5 of 10 essays containing the words Irreducible representations.
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1. Symmetry Analysis of Orbitals in a Plane Wave Basis : A Study on Molecules and Defects in Solids
University essay from Linköpings universitet/Teoretisk FysikAbstract : Modeling and analysing materials with theoretical tools is of great use when finding new systems for applications, for example, semiconductors with point defects can be used for quantum applications, like single photon emitters. One important aspect to consider symmetry, which can yield useful information about the properties of a system. READ MORE
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2. Irreducible representations of finite groups in general, $\textbf{SL}_2(\mathbb{F}_4)$ in particular
University essay from KTH/FysikAbstract : In this paper linear representations of finite groups are introduced, and the associated character theory with it. Some work of linear representations of the dihedral group $D_n$ and the symmetric group $S_n$ is presented. \\We also take a look at the finite matrix groups $\textbf{GL}(\mathbb{F}_q)$ and $\textbf{SL}(\mathbb{F}_q)$. READ MORE
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3. Group Representations and a Study of M-groups
University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)Abstract : In this thesis we introduce some basic concepts in representation theory such as Schur’s Lemma, induced representations and M-groups. These concepts are then used in particular on a group G_96 of order 96, in order to determine its irreducible representations and its character table. READ MORE
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4. The 2+1 Lorentz Group and Its Representations
University essay from Stockholms universitet/FysikumAbstract : The Lorentz group is a symmetry group on Minkowski space, and as such is central to studying the geometry of this and related spaces. The group therefore shows up also from physical considerations, such as trying to formulate quantum physics in anti-de Sitter space. READ MORE
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5. 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
