On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities
Isaev, A ; Ogievetsky, O. ; Pyatov, P
HAL, hal-00473321 / Harvested from HAL
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.
Publié le : 1998-09-29
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
@article{hal-00473321,
     author = {Isaev, A and Ogievetsky, O. and Pyatov, P},
     title = {On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00473321}
}
Isaev, A; Ogievetsky, O.; Pyatov, P. On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00473321/