Andrei Minchenko

activity

20162018

collaborators

4 papers

math.AG2018

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…

math.AG2017

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…

math.RT2017

Etale representations for reductive algebraic groups with factors $S p_{n}$ or $S O_{n}$

Dietrich Burde, Wolfgang Globke, Andrei Minchenko

A complex vector space $V$ is an étale $G$ -module if $G$ acts rationally on $V$ with a Zariski-open orbit and $dim G = dim V$ . Such a module is called super-étale if the stabilizer…

math.RT2016

Calculating Galois groups of third order linear differential equations with parameters