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2006 Associated Lie Algebras and Graded Contractions of the Pauli Graded $\frak{sl}(3,\mathbb{C})$
Jiří Hrivnák, Petr Novotný
J. Geom. Symmetry Phys. 6: 47-54 (2006). DOI: 10.7546/jgsp-6-2006-47-54

Abstract

We consider the Pauli grading of the Lie algebra $\frak{sl}(3,\mathbb{C})$ and use a concept of graded contractions to construct non-isomorphic Lie algebras of dimension eight. We overview methods used to distinguish the results and show how associated algebras, uniquely determined by the original algebra, simplify this task. We present a short overview of resulting Lie algebras.

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Jiří Hrivnák. Petr Novotný. "Associated Lie Algebras and Graded Contractions of the Pauli Graded $\frak{sl}(3,\mathbb{C})$." J. Geom. Symmetry Phys. 6 47 - 54, 2006. https://doi.org/10.7546/jgsp-6-2006-47-54

Information

Published: 2006
First available in Project Euclid: 20 May 2017

zbMATH: 1154.17306
MathSciNet: MR2267774
Digital Object Identifier: 10.7546/jgsp-6-2006-47-54

Rights: Copyright © 2006 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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