9 citations · 17 across the 5 of their papers we have counts for
8 papers
Degree bound for toric envelope of a linear algebraic group
Eli Amzallag, Andrei Minchenko, Gleb Pogudin
Algorithms working with linear algebraic groups often represent them via defining polynomial equations. One can always choose defining equations for an algebraic group to be of the…
Triviality of differential Galois cohomologies of linear differential algebraic groups
Andrei Minchenko, Alexey Ovchinnikov
We show that the triviality of the differential Galois cohomologies over a partial differential field K of a linear differential algebraic group is equivalent to K being algebraica…
Etale representations for reductive algebraic groups with factors or
Dietrich Burde, Wolfgang Globke, Andrei Minchenko
A complex vector space is an étale -module if acts rationally on with a Zariski-open orbit and . Such a module is called super-étale if the stabilizer…
Calculating Galois groups of third order linear differential equations with parameters
Andrei Minchenko, Alexey Ovchinnikov
Motivated by developing algorithms that decide hypertranscendence of solutions of extensions of the Bessel differential equation, algorithms computing the unipotent radical of a pa…
Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence
Charlotte Hardouin, Andrei Minchenko, Alexey Ovchinnikov
The main motivation of our work is to create an efficient algorithm that decides hypertranscendence of solutions of linear differential equations, via the parameterized differentia…
Holonomicity of relative characters and applications to multiplicity bounds for spherical pairs
Avraham Aizenbud, Dmitry Gourevitch, Andrey Minchenko
In this paper, we prove that any relative character (a.k.a. spherical character) of any admissible representation of a real reductive group with respect to any pair of spherical su…
On central extensions of simple differential algebraic groups
Andrei Minchenko
We consider central extensions in the category of linear differential algebraic groups. We show that if is simple non-commutative and $…
Enhanced Dynkin diagrams and Weyl orbits
Eugene Dynkin, Andrei Minchenko
The root system R of a complex semisimple Lie algebra is uniquely determined by its basis (also called a simple root system). It is natural to ask whether all homomorphisms of root…