Cayley-Hamilton-Newton identities and quasitriangular Hopf algebras
Isaev, A. P. ; Ogievetsky, O. V. ; Pyatov, P. N.
HAL, hal-00473327 / Harvested from HAL
Text on HAL
In the framework of the Drinfeld theory of twists in Hopf algebras we construct quantum matrix algebras which generalize the Reflection Equation and the RTT algebras. Finite-dimensional representations of these algebras related to the theory of nonultralocal spin chains are presented. The Cayley-Hamilton-Newton identities are demonstrated. These identities allow to define the quantum spectrum for the quantum matrices. We mention possible applications of the new quantum matrix algebras to constructions of noncommutative analogs of Minkowski space and quantum Poincaré algebras.
Publié le : 1999-12-24
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00473327,
     author = {Isaev, A. P. and Ogievetsky, O. V. and Pyatov, P. N.},
     title = {Cayley-Hamilton-Newton identities and quasitriangular Hopf algebras},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00473327}
}

Isaev, A. P.; Ogievetsky, O. V.; Pyatov, P. N. Cayley-Hamilton-Newton identities and quasitriangular Hopf algebras. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00473327/