Abstract
The concept of a convolution identity for tensors is introduced and it is proved that any convolution identity for tensors on a finite-dimensional space follows from a convolution identity equivalent to the classical Cayley-Hamilton identity.
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Literature cited
Yu. P. Razmyslov, “Trace identities of full matrix algebras over a field of characteristic zero,” Izv. Akad. Nauk SSSR, Ser. Mat.,38, No. 4, 723–756 (1974).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 114, pp. 211–214, 1982.
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Yakovlev, A.V., Movsisyan, A.M. Convolution identities for tensors. J Math Sci 27, 2993–2996 (1984). https://doi.org/10.1007/BF01410755
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DOI: https://doi.org/10.1007/BF01410755