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Ternary algebras and calculus of cubic matrices

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Abramov V., Shitov S.

Banach Center Publications

2011

tom 93

nr 1

9-18

We study associative ternary algebras and describe a general approach which allows us to construct various classes of ternary algebras. Applying this approach to a central bimodule with a covariant derivative we construct a ternary algebra whose ternary multiplication is closely related to the curvature of the covariant derivative. We also apply our approach to a bimodule over two associative (binary) algebras in order to construct a ternary algebra which we use to produce a large class of Lie algebras. We study the calculus of cubic matrices and use this calculus to construct a matrix ternary algebra with associativity of second kind.

Ograniczanie wyników

1 Banach Center Publications

1 Abramov V.

1 Shitov S.

1 2011

Wyniki wyszukiwania

Ternary algebras and calculus of cubic matrices