121 citations · 290 across the 15 of their papers we have counts for
17 papers
On quantum -Toda chain
A. A. Gerasimov, D. R. Lebedev, S. V. Oblezin
The orthosymplectic super Lie algebra is the closest analog of standard Lie algebras in the world of super Lie algebras. We demonstrate that the corresp…
On universal Baxter operator for classical groups
Anton A. Gerasimov, Dimitri R. Lebedev
The universal Baxter operator is an element of the Archimedean spherical Hecke algebra H(G,K), K be a maximal compact subgroup of a Lie group G. It has a defining property to act i…
Representation Theory over Tropical Semifield and Langlands Correspondence
Anton A. Gerasimov, Dimitri R. Lebedev
Recently we propose a class of infinite-dimensional integral representations of classical gl(n+1)-Whittaker functions and local Archimedean local L-factors using two-dimensional to…
On topological field theory representation of higher analogs of classical special functions
Anton A. Gerasimov, Dimitri R. Lebedev
Looking for a quantum field theory model of Archimedean algebraic geometry a class of infinite-dimensional integral representations of classical special functions was introduced. P…
Parabolic Whittaker Functions and Topological Field Theories I
Anton Gerasimov, Dimitri Lebedev, Sergey Oblezin
First, we define a generalization of the standard quantum Toda chain inspired by a construction of quantum cohomology of partial flags spaces GL(\ell+1)/P, P a parabolic subgroup.…
Archimedean L-factors and Topological Field Theories II
Anton Gerasimov, Dimitri Lebedev, Sergey Oblezin
In the first part of this series of papers we propose a functional integral representation for local Archimedean L-factors given by products of the Gamma-functions. In particular w…