30 citations · 52 across the 2 of their papers we have counts for
4 papers
Reductive linear differential algebraic groups and the Galois groups of parameterized linear differential equations
Andrey Minchenko, Alexey Ovchinnikov, Michael F. Singer
We develop the representation theory for reductive linear differential algebraic groups (LDAGs). In particular, we exhibit an explicit sharp upper bound for orders of derivatives i…
Unipotent differential algebraic groups as parameterized differential Galois groups
Andrey Minchenko, Alexey Ovchinnikov, Michael F. Singer
We deal with aspects of the direct and inverse problems in parameterized Picard-Vessiot (PPV) theory. It is known that, for certain fields, a linear differential algebraic group (L…
Extensions of differential representations of SL(2) and tori
Andrey Minchenko, Alexey Ovchinnikov
Linear differential algebraic groups (LDAGs) measure differential algebraic dependencies among solutions of linear differential and difference equations with parameters, for which…
Zariski Closures of Reductive Linear Differential Algebraic Groups
Andrey Minchenko, Alexey Ovchinnikov
Linear differential algebraic groups (LDAGs) appear as Galois groups of systems of linear differential and difference equations with parameters. These groups measure differential-a…