95 citations · 1.1k across the 75 of their papers we have counts for
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math.QA2007★ 6 cited
Notes on the Kazhdan-Lusztig theorem on equivalence of the Drinfeld category and the category of Uq(g)-modules
Sergey Neshveyev, Lars Tuset
We discuss the proof of Kazhdan and Lusztig of the equivalence of the Drinfeld category D(g,h) of g-modules and the category of finite dimensional Uq(g)-modules, q=exp(πih), for h\…
math.OA2007★ 44 cited
On Bost-Connes type systems for number fields
Marcelo Laca, Nadia S. Larsen, Sergey Neshveyev
We give a complete description of the phase transition of the Bost-Connes type systems for number fields recently introduced by Connes-Marcolli-Ramachandran and Ha-Paugam. We also…
math.OA2007★ 71 cited
The Dirac operator on compact quantum groups
Sergey Neshveyev, Lars Tuset
For the q-deformation G_q, 0<q<1, of any simply connected simple compact Lie group G we construct an equivariant spectral triple which is an isospectral deformation of that defined…