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math.QA2005★ 7 cited
On R-matrix representations of Birman-Murakami-Wenzl algebras
A. P. Isaev, O. V. Ogievetsky, P. N. Pyatov
We show that to every local representation of the Birman-Murakami-Wenzl algebra defined by a skew-invertible R-matrix one can associate pairings $V\otimes V\…
math.QA1999
Cayley-Hamilton-Newton identities and quasitriangular Hopf algebras
A. P. Isaev, O. V. Ogievetsky, P. N. Pyatov
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-dimens…