Endomorphisms of Weyl algebra and $p$-curvatures

By Yoshifumi Tsuchimoto. 2005

87 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e4c36ff748a0ca09b2befbd0a2a45feb0ddf27fa

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. M. Kontsevich
2. A. Belov-Kanel
3. Wenhua Zhao
4. Ualbai U. Umirbaev
5. Alexei Oblomkov
6. Dmitry Kaledin
7. Thomas Willwacher

In Geometry and Topology

1. Wenhua Zhao
2. Ualbai U. Umirbaev
3. M. Kontsevich
4. A. Belov-Kanel
5. M. Abouzaid
6. Mark Gross
7. T. Bridgeland
8. D. Auroux

Citations in the corpus

• Mathieu Subspaces of Associative Algebras (2010, result): “bove. There are also several other open problems and conjectures that are directly or indirectly related with Mathieu subspaces. For example, the Dixmier conjecture [D] as shown first by Y. Tsuchimoto [T] in 2005, and later by A. Belov and M. Kontsevich [BK] and P. K. Adjamagbo MATHIEU SUBSPACES OF A”
• Generalizations of the Image Conjecture and the Mathieu Conjecture (2009, result): “ith constant coefficients via their connections with the IC (See [Z3]). Furthermore, we can also include the well-known Dixmier conjecture [D] in the list since it has been shown, first by Y. Tsuchimoto [T] in 2005 and later by A. Belov and M. Kontsevich [BK] and P. K. Adjamagbo and A. van den Essen [A”
• Universal enveloping algebras and universal derivations of Poisson algebras (2011, background): “ of polynomial symplectomorphisms of a 2n-dimensional affine space, i.e., AutAn≃ AutPn. This problem was posed in [4] for fields of characteristic zero but it makes sense in positive characteristic also [1, 5, 30, 31]. Every automorphism ϕof Pn can be uniquely extended to an automorphism ϕ∗ of the univ”
• The Jacobian Conjecture is stably equivalent to the Dixmier Conjecture (2005, methodology): “After this paper was written, we were told by Ken Goodearl about the paper [11] by Yoshifumi Tsuchimoto, which contains the proof of our main result.”
• Images of commuting differential operators of order one with constant leading coefficients (2009, background): “, see [BCW], [E] and references therein. Recently, the equivalence of the JC with the Dixmier conjecture proposed by J. Dixmier [D] in 1968 has been established by V. Kac (unpublished), Y. Tsuchimoto [T], A. Belov and M. Kontsevich [BK] and P. K. Adjamagbo and A. van den Essen [AE]. The Dixmier conj”