7 citations · 7 across the 1 of their papers we have counts for
6 papers
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\…
Q-multilinear Algebra
A. Isaev, O. Ogievetsky, P. Pyatov
The Cayley-Hamilton-Newton theorem - which underlies the Newton identities and the Cayley-Hamilton identity - is reviewed, first, for the classical matrices with commuting entries,…
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…
Modified Affine Hecke Algebras and Drinfeldians of Type A
V. N. Tolstoy, O. V. Ogievetsky, P. N. Pyatov +1
We introduce a modified affine Hecke algebra $\h{H}^{+}_{qη}({l})$ ($\h{H}_{qη}({l})$) which depends on two deformation parameters and . When the parameter is equal to z…
On Inflation Rules for Mosseri-Sadoc Tilings
Zorka Papadopolos, Oleg Ogievetsky
We give the inflation rules for the decorated Mosseri-Sadoc tiles in the projection class of tilings . Dehn invariants related to the stone inflation of the Mosser…
On Quasiperiodic Space Tilings, Inflation and Dehn Invariants
Oleg Ogievetsky, Zorka Papadopolos
We introduce Dehn invariants as a useful tool in the study of the inflation of quasiperiodic space tilings. The tilings by ``golden tetrahedra'' are considered. We discuss how the…