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Extensions of the Frobenius to the ring of differential operators on a polynomial algebra in prime characteristic.
- Source :
-
Transactions of the American Mathematical Society . Aug2010, Vol. 363 Issue 1, p417-437. 21p. - Publication Year :
- 2010
-
Abstract
- Let $ K$. It is proved that each automorphism $ \sigma \in \operatorname{Aut}_K(\mathcal D(P_n))$ $ \mathcal D(P_n)$ $ P_n= K[x_1, \ldots, x_n]$uniquely determined by the elements $ \sigma (x_1), \ldots ,\sigma (x_n)$ $ \operatorname{Frob}(\mathcal D(P_n))$ $ \mathcal D(P_n)$, to the ring $ \mathcal D(P_n)$ $ \operatorname{Aut}_K(\mathcal D(P_n) ) \cdot \mathcal{F}$ $ \mathcal{F}$ to $ \mathcal D(P_n)$ $ \mathcal{F}$countably many independent parameters). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 363
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 53378060