Supersymmetric Lie Algebra
نویسنده
چکیده
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.
منابع مشابه
Supersymmetric Hypermatrix Lie Algebra and Hypermatrix Groups Generated by the Dihedral Set D3
This work is an investigation into the structure and properties of supersymmetric hypermatrix Lie algebra generated by elements of the dihedral group D3. It is based on previous work on the subject of supersymmetric Lie algebra (Schreiber, 2012). In preview work I used several new algebraic tools; namely cubic hypermatrices (including special arrangements of such hypermatrices) and I obtained a...
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