258 citations · 625 across the 30 of their papers we have counts for
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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 q-deformed gl(l+1)-Whittaker function II
Anton Gerasimov, Dimitri Lebedev, Sergey Oblezin
A representation of a specialization of a q-deformed class one lattice gl(\ell+1}-Whittaker function in terms of cohomology groups of line bundles on the space QM_d(P^{\ell}) of qu…