منابع مشابه
Sextonions and the Magic Square
Associated to any complex simple Lie algebra is a non-reductive complex Lie algebra which we call the intermediate Lie algebra. We propose that these algebras can be included in both the magic square and the magic triangle to give an additional row and column. The extra row and column in the magic square correspond to the sextonions. This is a six-dimensional subalgebra of the split octonions w...
متن کاملThe Magic Square and Symmetric Compositions Ii
Abstract. The construction of Freudenthal’s Magic Square, which contains the exceptional simple Lie algebras of types F4, E6, E7 and E8, in terms of symmetric composition algebras is further developed here. The para-Hurwitz algebras, which form a subclass of the symmetric composition algebras, will be defined, in the split case, in terms of the natural two dimensional module for the simple Lie ...
متن کاملThe 'magic square': A roadmap towards emotional business intelligence
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متن کاملThe Extended Freudenthal Magic Square and Jordan Algebras
The Lie superalgebras in the extended Freudenthal Magic Square in characteristic 3 are shown to be related to some known simple Lie superalgebras, specific to this characteristic, constructed in terms of orthogonal and symplectic triple systems, which are defined in terms of central simple degree three Jordan algebras.
متن کاملAlgebraic on Magic Square of Odd Order n
This paper aims to address the relation between a magic square of odd order n and a group, and their properties. By the modulo number n, we construct entries for each table from initial table of magic square with large number n. Generalization of the underlying idea is presented, we obtain unique group, and we also prove variants of the main results for magic cubes.
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ژورنال
عنوان ژورنال: Baghdad Science Journal
سال: 2009
ISSN: 2411-7986,2078-8665
DOI: 10.21123/bsj.6.3.618-620