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

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

2004-10-12

arxiv.org/abs/hep-th/0410135v1

Physics

High Energy Physics

High Energy Physics - Theory

51 pages, Diploma Thesis (2003), defended at Czech Technical University in Prague

Scientific paper

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.

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