Supersymmetric Lie Algebra

Jacob M Schreiber

Abstract


This work is an investigation into the structure and properties of Lie hypermatrix algebra generated by a semisimple basis. By using new algebraic tools; namely cubic hypermatrices I obtain an algebraic structure associated with the basis of a semisimple Lie algebra, and I show that the semisimple Lie basis is a generator of infinite periodic semisimple hypermatrix structures, that has a classical Lie algebra decomposition (Bourbaki, 1980; Humphreys, 1972; Serre, 1987); specifically a set of Lie algebras composed of hypermatrices. The generators of higher dimensional semisimple Lie algebra are shown to be special supersymmetric, anti-symmetric and certain skew-symmetric hypermatrices.


Full Text: PDF DOI: 10.5539/jmr.v4n1p41

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This work is licensed under a Creative Commons Attribution 3.0 License.

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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