Picard-Vessiot theory in general Galois theory

• Autorzy: Hiroshi Umemura
• Języki publikacji: EN

Abstrakty

EN

We give a transparent proof that difference Picard-Vessiot theory is a part of the general difference Galois theory. We apply the proof to iterative q-difference Picard-Vessiot theory to show that Picard-Vessiot theory for iterative q-difference field extensions is in the scope of the general Galois theory of Heiderich. We also show that Picard-Vessiot theory is commutative in the sense that studying linear difference-differential equations, no matter how twisted the operators are, we cannot encounter quantification of the Galois groupoid.

Kategorie tematyczne

• 12H05: Differential algebra
• 12H10: Difference algebra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 94
• Numer: 1
• Strony: 263-293

Daty

wydano

2011

Twórcy

autor

Hiroshi Umemura

• Graduate School of Mathematics, Chikusa-ku, Nagoya, 464-8602, Japan

Identyfikatory

DOI

10.4064/bc94-0-19