科研之友
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摘要
A multiplication for a specific nested collection of multidimensional matrices is defined by association with a system of n = 2(m)-dimensional hypercomplex numbers. A totally symmetric and multiplicative determinant is then derived from the system which extends the Cayley hyperdeterminant to these higher dimensions. The determinant is related to the zero divisors of the system of hypercomplex numbers. Properties of the determinant are then discussed.
- 出版日期2014-2
