Relative D-groups and differential Galois theory in several derivations

León Sánchez, Omar

doi:10.1090/S0002-9947-2015-06249-7

Relative D-groups and differential Galois theory in several derivations
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Trans. Amer. Math. Soc. 367 (2015), 7613-7638 Request permission

Abstract:

The Galois theory of logarithmic differential equations with respect to relative D-groups in partial differential-algebraic geometry is developed. This theory generalizes simultaneusly the parametrized Picard-Vessiot theory of Cassidy and Singer and the finite-dimensional theory of Pillay’s generalized strongly normal extensions.

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