Solution of Contraction Equations for the Pauli Grading of sl(3,C)
Abstract
Description
We consider the Pauli grading of the Lie algebra sl(3,C) and use a concept of graded contractions to construct non-isomorphic Lie algebras of dimension 8, while preserving the Pauli grading. We show how the symmetry group of a grading simplifies the solution of contraction equations. We present the list of all 180 non-equivalent solutions of non-linear contraction system.
51 pages, Diploma Thesis (2003), defended at Czech Technical University in Prague
51 pages, Diploma Thesis (2003), defended at Czech Technical University in Prague