8 citations · 13 across the 4 of their papers we have counts for
4 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…
The q-binomial formula and the Rogers dilogarithm identity
R. M. Kashaev
The q-binomial formula in the limit q->1 is shown to be equivalent to the Rogers five term dilogarithm identity.
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…
From the Tetrahedron Equation to Universal R-Matrices
R. M. Kashaev, A. Yu. Volkov
Modified universal R-matrices, associated with the central extension (through the Drinfeld's double construction) of the quantum groups U_q(sl_n), are realized through an infinite…