4 citations · 4 across the 4 of their papers we have counts for
9 papers
Random skew plane partitions and the Pearcey process
Andrei Okounkov, Nicolai Reshetikhin
We study random skew 3D partitions weighted by and, specifically, the asymptotics of local correlations near various points of the limit shape. We obtai…
Numerical study of the 6-vertex model with domain wall boundary conditions
David Allison, Nicolai Reshetikhin
A Markov process is constructed to numerically study the phase separation in the 6-vertex model with domain wall boundary conditions. It is a random walk on the graph where vertice…
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…
Invariants of tangles with flat connections in their complements.I. Invariants and holonomy R-matrices
R. Kashaev, N. Reshetikhin
The notion of holonomy -matrices is introduced. It is shown how to define invariants of tangles with flat connections in a principle -bundle of the complement of a tangle usi…
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…