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), 18911898
MSC (2000):
Primary 16W20, 13N10, 16S32
Published electronically:
January 26, 2009
MathSciNet review:
2480268
Fulltext PDF Free Access
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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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 V. V. Bavula, The inversion formulae for automorphisms of polynomial algebras and differential operators in prime characteristic, J. Pure Appl. Algebra, 212 (2008), 23202337. MR 2426512
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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:
http://dx.doi.org/10.1090/S0002993909098256
PII:
S 00029939(09)098256
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
