We develop a Galois theory for systems of linear difference equations with an action of an
endomorphism σ. This provides a technique to test whether solutions of such systems satisfy …

Existence of ∂-parameterized Picard–Vessiot extensions over fields with algebraically closed
constants Page 1 Journal of Algebra 361 (2012) 163–171 Contents lists available at SciVerse …

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 in …

UNIPOTENT DIFFERENTIAL ALGEBRAIC GROUPS AS PARAMETERIZED DIFFERENTIAL
GALOIS GROUPS Page 1 671 doi:10.1017/S1474748013000200 c Cambridge University …

We develop a theory of tensor categories over a field endowed with abstract operators. Our
notion of a “field with operators”, derived from the work of Moosa and Scanlon, includes the …

The Galois theory of difference equations has witnessed a major evolution in the last two
decades. In the particular case of $ q $-difference equations, authors have introduced …

We study parametrized linear differential equations with coefficients depending
meromorphically upon the parameters. As a main result, analogously to the unparametrized …

We study isomonodromicity of systems of parameterized linear differential equations and
related conjugacy properties of linear differential algebraic groups by means of differential …

Linear differential algebraic groups (LDAGs) appear as Galois groups of systems of linear
differential and difference equations with parameters. These groups measure differential …

We make explicit certain results around the Galois correspondence in the context of
definable automorphism groups, and point out the relation to some recent papers dealing …