%0 Journal Article
%T Generalized Cayley-Hamilton-Newton identities
%A A. Isaev
%A O. Ogievetsky
%A P. Pyatov
%J Mathematics
%D 1998
%I arXiv
%R 10.1023/A:1021649021069
%X The q-generalizations of the two fundamental statements of matrix algebra -- the Cayley-Hamilton theorem and the Newton relations -- to the cases of quantum matrix algebras of an "RTT-" and of a "Reflection equation" types have been obtained in [2]-[6]. We construct a family of matrix identities which we call Cayley-Hamilton-Newton identities and which underlie the characteristic identity as well as the Newton relations for the RTT- and Reflection equation algebras, in the sence that both the characteristic identity and the Newton relations are direct consequences of the Cayley-Hamilton-Newton identities.
%U http://arxiv.org/abs/math/9809047v1