6 citations · 15 across the 5 of their papers we have counts for
3 papers · 1 filter
On q-deformed gl(l+1)-Whittaker function III
Anton Gerasimov, Dimitri Lebedev, Sergey Oblezin
We identify q-deformed gl(l+1)-Whittaker functions with a specialization of Macdonald polynomials. This provides a representation of q-deformed gl(l+1)-Whittaker functions in terms…
On q-deformed gl(l+1)-Whittaker function
Anton Gerasimov, Dimitri Lebedev, Sergey Oblezin
We propose new explicit form of q-deformed Whittaker functions solving q-deformed gl(l+1)-Toda chains. In the limit q->1 constructed solutions reduce to classical class one gl(l+1)…
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…