4 papers
The Conjecture of Dixmier for the first Weyl algebra is true
Alexander Zheglov
Let be a field of characteristic zero, let be the first Weyl algebra. In this paper we prove that the Dixmier conjecture for the first Weyl algebra is tru…
Normal forms for ordinary differential operators, II
J. Guo, A. B. Zheglov
In this paper, which is a follow-up of our first paper "Normal forms for ordinary differential operators, I", we extend the theory of normal forms for non-commuting operators, and…
Normal forms for ordinary differential operators, III
Junhu Guo, A. B. Zheglov
In this paper, which is a follow-up of our first paper "Normal forms for ordinary differential operators, I", we extend the explicit parametrisation of torsion free rank one sheave…
Normal forms for ordinary differential operators, I
J. Guo, A. B. Zheglov
In this paper we develop the generalised Schur theory offered in the recent paper by the second author in dimension one case, and apply it to obtain a new explicit parametrisation…