The inversion formulae for automorphisms of polynomial algebras and differential operators in prime characteristic
| dc.creator | Bavula, V. V. | |
| dc.date | 2006-04-21 | |
| dc.date.accessioned | 2026-07-07T07:11:10Z | |
| dc.date.available | 2026-07-07T07:11:10Z | |
| dc.description | Let $K$ be an {\em arbitrary} field of characteristic $p>0$, let $A$ be one of the following algebras: $P_n:= K[x_1, ..., x_n]$ is a polynomial algebra, $\CD (P_n)$ is the ring of differential operators on $P_n$, $\CD (P_n)\t P_m$, the $n$'th {\em Weyl} algebra $A_n$, the $n$'th {\em Weyl} algebra $A_n\t P_m$ with polynomial coefficients $P_m$, the power series algebra $K[[x_1, ..., x_n]]$, $T_{k_1, ..., k_n}$ is the subalgebra of $\CD (P_n)$ generated by $P_n$ and the higher derivations $\der_i^{[j]}$, $0\leq j <p^{k_i}$, $i=1, ..., n$ (where $k_1, ..., k_n\in \mathbb{N}$), $T_{k_1, ..., k_n}\t P_m$, an {\em arbitrary central simple} (countably generated) algebra over an {\em arbitrary} field. {\em The inversion formula} for automorphisms of the algebra $A$ is found {\em explicitly}. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0604477 | |
| dc.identifier | http://arxiv.org/abs/math/0604477 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111654 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13N10, 13N15, 14R15, 14H37, 16S32 | |
| dc.title | The inversion formulae for automorphisms of polynomial algebras and differential operators in prime characteristic | |
| dc.type | text |