4 citations · 4 across the 4 of their papers we have counts for
6 papers · 1 filter
Braiding for the quantum gl_2 at roots of unity
R. Kashaev, N. Reshetikhin
In our preceding papers we started considering the categories of tangles with flat G-connections in their complements, where G is a simple complex algebraic group. The braiding (or…
Hopf algebras with trace and representations
C. DeConcini, C. Procesi, N. Reshetikhin +1
We study the restriction of representations of Cayley-Hamilton algebras to subalgebras. This theory is applied to determine tensor products and branching rules for representations…
Symmetrically Factorizable Groups and Set-Theoretical Solutions of the Pentagon Equation
R. M. Kashaev, N. Reshetikhin
The notion of a symmetrically factorizable Lie group is introduced. It is shown that each symmetrically factorizable Lie group is related to a set-theoretical solution of the penta…
Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure
Nicolai Reshetikhin
Phase space of a characteristic Hamiltonian system is a symplectic leaf of a factorizable Poisson Lie group. Its Hamiltonian is a restriction to the symplectic leaf of a function o…
Deformation Quantization of Kahler Manifolds
Nicolai Reshetikhin, Leon Takhtajan
We present an explicit formula for the deformation quantization on Kähler manifolds.
Deformation Quantization of Lagrangian Fiber Bundles
Nicolai Reshetikhin, Milen Yakimov
Let (M, \om) be a symplectic manifold. A Lagrangian fiber bundle π: M -> B determines a completely integrable system on M. First integrals of this system are the pull-backs of func…