Essays about: "sl 2"

Showing result 1 - 5 of 15 essays containing the words sl 2.

1. 1. Irreducible representations of finite groups in general, $\textbf{SL}_2(\mathbb{F}_4)$ in particular

   University essay from KTH/Fysik

   Author : Oskar Mevik Päts; [2022]
   Keywords : Linear representations of finite groups; Group theory; Irreducible representations; Special linear group;

   Abstract : 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

3. 2. Spacetime as a Hamiltonian Orbit and Geroch's Theorem on the Existence of Fermions

   University essay from Uppsala universitet/Institutionen för fysik och astronomi

   Author : Viktor Bergstedt; [2020]
   Keywords : 3 1; ADM; black hole; canonical quantization; Cauchy surface; causality; differential geometry; Einstein-Hilbert action; general relativity; Geroch; globally hyperbolic; Hamilton s equations; numerical relativity; parallelizable; SL 2; C ; spacetime; spinor; spin structure; SO 1; 3 ; Stiefel-Whitney class; tetrad; topology;

   Abstract : Over a century since its inception, general relativity continues to lie at the heart of some of the most researched topics in theoretical physics. It seems likely that the coveted solutions to problems like quantum gravity are to be found in an extension of general relativity, one which may only be visible in an alternate formulation of the theory. READ MORE

4. 3. Dickson's Classification of Finite Subgroups of the Two-dimensional Special Linear Group over an Algebraically Closed Field

   University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Author : Christopher Butler; [2019]
   Keywords : Group Theory; Special Linear Group; Classification Theorem; Maximal Abelian Subgroup; Mathematics and Statistics;

   Abstract : This paper is a reformulation of Leonard Dickson's complete classification of the finite subgroups of the two-dimensional special linear group over an arbitrary algebraically closed field, SL(2,F). The approach is to construct a class equation of the conjugacy classes of maximal abelian subgroups of an arbitrary finite subgroup of SL(2,F). READ MORE

5. 4. Electromagnetic Duality in SO(3) Yang-Mills Theory : Bachelor Thesis

   University essay from Uppsala universitet/Teoretisk fysik

   Author : Jim Lundin; [2018]
   Keywords : Montonen-Olive conjecture; BPS states; t Hooft-Polyakov monopole; Witten effect; SL 2; Z invariance;

   Abstract : We introduce the historical context and motivation for the search for magnetic monopoles or monopole-like objects. Beginning the theoretical part we investigate the properties of groups as they relate to symmetries in physical theories. READ MORE

6. 5. Implementation of the Todd-Coxeter Algorithm to Finitely Presented Groups

   University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Author : Tomas Reed; [2018]
   Keywords : Group Theory; Free Groups; Finitely Presented Groups; Todd-Coxeter Algorithm; Combinatorial Group Theory; Mathematics and Statistics;

   Abstract : This work presents the notion of free groups and the definition of a group using generators and relations. We use the Todd-Coxeter Algorithm in order to solve the coset enumeration problem for the finitely presented groups: $D_4,\, A_4,\, A_5,\, S_3,\, S_4,\, S_5,\, PSL_2(7),\, PSL_2(9)$. READ MORE