119 citations · 638 across the 44 of their papers we have counts for
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Tannakian categories, linear differential algebraic groups, and parameterized linear differential equations
Alexey Ovchinnikov
We provide conditions for a category with a fiber functor to be equivalent to the category of representations of a linear differential algebraic group. This generalizes the notion…
Bounds for algorithms in differential algebra
Oleg Golubitsky, Marina Kondratieva, Marc Moreno Maza +1
We consider the Rosenfeld-Groebner algorithm for computing a regular decomposition of a radical differential ideal generated by a set of ordinary differential polynomials in n inde…
Canonical Characteristic Sets of Characterizable Differential Ideals
Oleg Golubitsky, Marina Kondratieva, Alexey Ovchinnikov
We study the concept of canonical characteristic set of a characterizable differential ideal. We propose an efficient algorithm that transforms any characteristic set into the cano…
Tannakian approach to linear differential algebraic groups
Alexey Ovchinnikov
Tannaka's Theorem states that a linear algebraic group G is determined by the category of finite dimensional G-modules and the forgetful functor. We extend this result to linear di…