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Simple multilinear algebras and hermitian operators

T. S. R. Fuad; Jon D. Phillips; Xiaorong Shen; Jonathan D. H. Smith — 2000

Commentationes Mathematicae Universitatis Carolinae

The paper studies multilinear algebras, known as comtrans algebras, that are determined by so-called $T$ -Hermitian matrices over an arbitrary field. The main result of this paper shows that the comtrans algebra of $n$ -dimensional $T$ -Hermitian matrices furnishes a simple comtrans algebra.

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