The group of order preserving automorphisms of the ring of differential operators on Laurent polynomial algebra in prime characteristic
| dc.creator | Bavula, V. V. | |
| dc.date | 2008-06-05 | |
| dc.date.accessioned | 2026-07-07T09:42:52Z | |
| dc.date.available | 2026-07-07T09:42:52Z | |
| dc.description | Let $K$ be a field of characteristic $p>0$. It is proved that the group $\Aut_{ord}(\CD (L_n))$ of order preserving automorphisms of the ring $\CD (L_n)$ of differential operators on a Laurent polynomial algebra $L_n:= K[x_1^{\pm 1}, ..., x_n^{\pm 1}]$ is isomorphic to a skew direct product of groups $\Zp^n \rtimes \Aut_K(L_n)$ where $\Zp$ is the ring of $p$-adic integers. Moreover, the group $\Aut_{ord}(\CD (L_n))$ is found explicitly. Similarly, $\Aut_{ord}(\CDPn)\simeq \Aut_K(P_n)$ where $P_n: =K[x_1, ..., x_n]$ is a polynomial algebra. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0806.1038 | |
| dc.identifier | http://arxiv.org/abs/0806.1038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162346 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 16W20, 13N10, 16S32 | |
| dc.title | The group of order preserving automorphisms of the ring of differential operators on Laurent polynomial algebra in prime characteristic | |
| dc.type | text |