Picard-Vessiot and categorically normal extensions in differential-difference Galois theory

zbMath1404.12008MaRDI QIDQ509264

George Janelidze

Publication date: 9 February 2017

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1483671624

zbMATH Keywords

differential equationdifferential Galois theorydifference equationnormal extensiondifference Galois theorycategorical Galois theoryCasorati determinantGalois groupoidWronski determinant

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Differential algebra (12H05) General theory of categories and functors (18A99) Difference algebra (12H10)

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Classification of operator extensions, monad liftings and distributive laws for differential algebras and Rota–Baxter algebras ⋮ A categorical approach to Picard-Vessiot theory

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