7 citations · 7 across the 1 of their papers we have counts for
4 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\…
Generalized Grassmann Algebras and its Connection to the Extended Supersymmetric Models
A. P. Isaev, Z. Popowicz, O. Santillan
It is shown that the fermionic Heisenberg-Weyl algebra with 2N=D fermionic generators is equivalent to the generalized Grassmann algebra with two fractional generators. The 2,3 and…
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…
Path-Integral for Quadratic Hamiltonian Systems and Boundary Conditions
A. T. Filippov, A. P. Isaev
A path-integral representation for the kernel of the evolution operator of general Hamiltonian systems is reviewed. We study the models with bosonic and fermionic degrees of freedo…