66 citations · 603 across the 77 of their papers we have counts for
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math.CA2000★ 2 cited
Discrete bispectral Darboux transformations from Jacobi operators
F. Alberto Grünbaum, Milen Yakimov
We construct families of bispectral difference operators of the form a(n)T + b(n) + c(n) T^{-1} where T is the shift operator. They are obtained as discrete Darboux transformations…
math.QA2000
The Double and Dual of a Quasitriangular Lie Bialgebra
Timothy J. Hodges, Milen Yakimov
Let G be a connected, simply connected Poisson-Lie group with quasitriangular Lie bialgebra g. An explicit description of the double D(g) is given, together with the embeddings of…
math.QA2000★ 1 cited
Symplectic Leaves of Complex Reductive Poisson-Lie Groups
Milen Yakimov
All factorizable Lie bialgebra structures on complex reductive Lie algebras were described by Belavin and Drinfeld. We classify the symplectic leaves of the full class of correspon…