Victor Tapia

Departamento de Matemáticas Universidad Nacional de Colombia Bogotá, Colombia

e-mail: tapiens@gmail.com

Abstract. We develop an algorithm to construct algebraic invariants for hyper-matrices. We then construct hyper-determinants and exhibit a generalization of the Cayley-Hamilton theorem for hyper-matrices.

Keywords and phrases. Polynomial identities, hyper-matrices.

2000 Mathematics Subject Classification. Primary: 14M12. Secondary: 15A24.

Resumen. Se desarrolla un algoritmo para construir invariantes algebraicos para hiper-matrices. A continuación se construyen hiper-determinantes y se muestra una generalización del teorema de Cayley-Hamilton para hipermatrices.

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(Recibido en mayo de 2005. Aceptado en agosto de 2005)