258 citations · 625 across the 30 of their papers we have counts for
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On a matrix element representation of special functions associated with toric varieties
A. A. Gerasimov, D. R. Lebedev, S. V. Oblezin
We develop representation theory approach to the study of special functions associated with toric varieties. In particular we show that the corresponding special functions are give…
On spectral cover equations in Simpson integrable systems
Anton A. Gerasimov, Samson L. Shatashvili
Following Simpson we consider the integrable system structure on the moduli spaces of Higgs bundles on a compact Kähler manifold . We propose a description of the corresponding…
Baxter operator formalism for Macdonald polynomials
Anton Gerasimov, Dimitri Lebedev, Sergey Oblezin
We develop basic constructions of the Baxter operator formalism for the Macdonald polynomials associated with root systems of type A. Precisely we construct a dual pair of mutually…
On a classical limit of q-deformed Whittaker functions
Anton Gerasimov, Dimitri Lebedev, Sergey Oblezin
We provide a derivation of the Givental integral representation of the classical -Whittaker function as a limit of the q-deformed -Whittaker fun…
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 a class of representations of the Yangian and moduli space of monopoles
A. Gerasimov, S. Kharchev, D. Lebedev +1
A new class of infinite dimensional representations of the Yangians and corresponding to a complex semisimple algebra and its Borel subalgebr…