๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Centralizers of locally nilpotent derivations

โœ Scribed by David R. Finston; Sebastian Walcher

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
754 KB
Volume
120
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.

โœฆ Synopsis

Locally nilpotent derivations of the polynomial ring in n variables over the complex field, algebraic actions of the additive group G. of complex numbers on C", and vector fields on C" admitting a strictly polynomial flow, are equivalent objects. The polynomial centralizer of the vector field corresponding to a triangulable locally nilpotent derivation is investigated, yielding a tiangulability criterion. Several new examples of nontriangulable Ga actions on C" are presented.

๐Ÿ“œ SIMILAR VOLUMES

A note on locally nilpotent derivations
A note on locally nilpotent derivations
โœ Miguel Ferrero; Yves Lequain; Andrzej Nowicki ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 308 KB
Locally Nilpotent Derivations over a UFD
Locally Nilpotent Derivations over a UFD and an Application to Rank Two Locally Nilpotent Derivations ofk[X1,โ€ฆ,Xn]
โœ Daniel Daigle; Gene Freudenburg ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 228 KB

Given a UFD R containing the rational numbers, we study locally nilpotent w x R-derivations of the polynomial ring R X, Y ; in particular, we give a generalization of Rentschler's Theorem and a criterion for the existence of a slice. These results are then applied to describe rank two locally nilpot