Solution of Contraction Equations for the Pauli Grading of sl(3,C)
High Energy Physics - Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.hep-th/0410135,
title = {Solution of Contraction Equations for the Pauli Grading of sl(3,C)},
author = {Jiri Hrivnak},
journal= {arXiv preprint arXiv:hep-th/0410135},
year = {2007}
}
Comments
51 pages, Diploma Thesis (2003), defended at Czech Technical University in Prague