Generalized Cayley-Hamilton-Newton identities
量子代数
2009-10-31 v1
摘要
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.
引用
@article{arxiv.math/9809047,
title = {Generalized Cayley-Hamilton-Newton identities},
author = {A. Isaev and O. Ogievetsky and P. Pyatov},
journal= {arXiv preprint arXiv:math/9809047},
year = {2009}
}
备注
6 pages, submitted to the Proceedings of 7-th International Colloquium "Quantum Groups and Integrable Systems" (Prague, 18-20 June 1998)