Solution of Contraction Equations for the Pauli Grading of sl(3,C)

Abstract

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

Cited by in corpus (2)

• Graded contractions of the Pauli graded sl(3,C)
• On Orbits of the Ring $Z_n^m$ under the Action of the Group $SL(m,Z_n)$