The group of order preserving automorphisms of the ring of differential operators on a Laurent polynomial algebra in prime characteristic

Author:
V. V. Bavula

Journal:
Proc. Amer. Math. Soc. **137** (2009), 1891-1898

MSC (2000):
Primary 16W20, 13N10, 16S32

DOI:
https://doi.org/10.1090/S0002-9939-09-09825-6

Published electronically:
January 26, 2009

MathSciNet review:
2480268

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let be a field of characteristic . It is proved that the group of order preserving automorphisms of the ring of differential operators on a Laurent polynomial algebra is isomorphic to a skew direct product of groups , where is the ring of -adic integers. Moreover, the group is found explicitly. Similarly, , where is a polynomial algebra.

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Additional Information

**V. V. Bavula**

Affiliation:
Department of Pure Mathematics, University of Sheffield, Hicks Building, Sheffield S3 7RH, United Kingdom

Email:
v.bavula@sheffield.ac.uk

DOI:
https://doi.org/10.1090/S0002-9939-09-09825-6

Keywords:
Group of automorphisms,
ring of differential operators,
the order filtration

Received by editor(s):
June 4, 2008

Published electronically:
January 26, 2009

Communicated by:
Martin Lorenz

Article copyright:
© Copyright 2009
American Mathematical Society