Actions of the additive group Ga on certain noncommutative deformations of the plane

We connect the theorems of Rentschler [18] and Dixmier [10] on locally nilpotent derivations and automorphisms of the polynomial ring A0 and of the Weyl algebra A1, both over a field of characteristic zero, by establishing the same type of results for the family of algebras Ah=〈x,y|yx−xy=h(x)〉,{A_h...

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Bibliographic Details
Main Authors: Kaygorodov Ivan, Lopes Samuel A., Mashurov Farukh
Format: Article
Language:English
Published: Sciendo 2021-06-01
Series:Communications in Mathematics
Subjects:
Online Access:https://doi.org/10.2478/cm-2021-0024