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

DOI10.1090/S0002-9939-09-09825-6zbMath1170.16024arXiv0806.1038OpenAlexW2025856494MaRDI QIDQ3629407

Vladimir V. Bavula

Publication date: 27 May 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.1038

zbMATH Keywords

automorphism groupsorder filtrationsrings of differential operators

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Rings of differential operators (associative algebraic aspects) (16S32) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items

The group of automorphisms of the algebra of polynomial integro-differential operators. ⋮ The group of automorphisms of the Jacobian algebra \(\mathbb A_n\). ⋮ K₁() and the group of automorphisms of the algebra of one-sided inverses of a polynomial algebra in two variables ⋮ Extensions of the Frobenius to the ring of differential operators on a polynomial algebra in prime characteristic

Cites Work

• The inversion formulae for automorphisms of polynomial algebras and rings of differential operators in prime characteristic
• Endomorphisms of Weyl algebra and \(p\)-curvatures.
• Extensions of the Frobenius to the ring of differential operators on a polynomial algebra in prime characteristic
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• THE GROUP OF AUTOMORPHISMS OF THE FIRST WEYL ALGEBRA IN PRIME CHARACTERISTIC AND THE RESTRICTION MAP
• Sur les algèbres de Weyl
• Über ganze birationale Transformationen der Ebene.
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