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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.33 no.s2 (2006), pp. 315-320
Summary of the Graded Contractions of the Pauli Graded sl(2, C) and sl(3, C)
J. Hrivnák, P. Novotný
Faculty of Nuclear sciences and Physical Engineering, Department of Physics, Czech Technical University, Brehová 7, Czech Republic
go backFaculty of Nuclear sciences and Physical Engineering, Department of Physics, Czech Technical University, Brehová 7, Czech Republic
Abstract. We consider the Pauli grading of the Lie algebra sl(2, C) and sl(3, C). We use a concept of graded contractions to construct non-isomorphic Lie algebras of dimension 3 and 8. We overview methods used to solve the system of contraction equations and to distinguish the results. We show how the symmetry group of the Pauli gradings simplify this task. We present a short overview of resulting Lie algebras. Complete results will be published elsewhere.