6 citations · 9 across the 4 of their papers we have counts for
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math.RT2009★ 2 cited
Quantum Toda Chains Intertwined
Anton Gerasimov, Dimitri Lebedev, Sergey Oblezin
We conjecture an explicit construction of integral operators intertwining various quantum Toda chains. Compositions of the intertwining operators provide recursive and Q-operators…
math.RT2007★ 6 cited
On Baxter Q-operators And Their Arithmetic Implications
A. Gerasimov, D. Lebedev, S. Oblezin
We consider Baxter Q-operators for various versions of quantum affine Toda chain. The interpretation of eigenvalues of the finite Toda chain Baxter operators as local Archimedean L…
math.RT2006★ 1 cited
Baxter Q-operator and Givental integral representation for C_n and D_n
A. Gerasimov, D. Lebedev, S. Oblezin
Recently integral representations for the eigenfunctions of quadratic open Toda chain Hamiltonians for classical groups was proposed. This representation generalizes Givental repre…