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

Citation
A. Isaev et al., On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities, J PHYS A, 32(9), 1999, pp. L115-L121
Citations number
13
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
9
Year of publication
1999
Pages
L115 - L121
Database
ISI
SICI code
0305-4470(19990305)32:9<L115:OQMAST>2.0.ZU;2-6
Abstract
The Cayley-Hamilton-Newton identities which generalize both the characteris tic identity and the Newton relations have been recently obtained for the a lgebras of the RTT-type. We extend this result to a wider class of algebras M((R) over cap, (F) over cap) 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.