On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities

A Isaev , O. Ogievetsky (1, 2) , P Pyatov

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332

The Cayley-Hamilton-Newton identities which generalize both the characteristic identity and the Newton relations have been recently obtained for the algebras of the RTT-type. We extend this result to a wider class of algebras M(R,F) defined by a pair of compatible solutions of the Yang-Baxter equation. This class includes the RTT-algebras as well as the Reflection equation algebras.

Domaines: Algèbres quantiques [math.QA]; Physique mathématique [math-ph]; Anneaux et algèbres [math.RA]; Physique mathématique [math-ph]

A Isaev, O. Ogievetsky, P Pyatov. On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities. 1998. ⟨hal-00473321⟩