131 citations · 1.2k across the 53 of their papers we have counts for
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math.QA2001★ 1 cited
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…
math.QA2001★ 3 cited
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…
math.QA2001★ 6 cited
Quantum invariant measures
Nicolai Reshetikhin, Milen Yakimov
We derive an explicit expression for the Haar integral on the quantized algebra of regular functions C_q[K] on the compact real form K of an arbitrary simply connected complex simp…