Simple multilinear algebras and hermitian operators
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 251-259.

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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.
Classification : 15A69, 17A40
Keywords: comtrans algebras; $T$-Hermitian matrices; simple algebras
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     title = {Simple multilinear algebras and hermitian operators},
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     pages = {251--259},
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Fuad, T. S. R.; Phillips, J. D.; Shen, X. R.; Smith, J. D. H. Simple multilinear algebras and hermitian operators. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 251-259. http://geodesic.mathdoc.fr/item/CMUC_2000__41_2_a4/