Trace identities of full matrix algebras over a field of characteristic zero
Izvestiya. Mathematics, Tome 8 (1974) no. 4, pp. 727-760
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In this paper we consider the trace identities satisfied in a full matrix algebra of order $n$. For the case of a field of characteristic zero we prove that all trace identities are consequences of one obtained from the Hamilton–Cayley theorem.
@article{IM2_1974_8_4_a0,
author = {Yu. P. Razmyslov},
title = {Trace identities of full matrix algebras over a~field of characteristic zero},
journal = {Izvestiya. Mathematics},
pages = {727--760},
year = {1974},
volume = {8},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1974_8_4_a0/}
}
Yu. P. Razmyslov. Trace identities of full matrix algebras over a field of characteristic zero. Izvestiya. Mathematics, Tome 8 (1974) no. 4, pp. 727-760. http://geodesic.mathdoc.fr/item/IM2_1974_8_4_a0/
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