The group of order preserving automorphisms of the ring of differential operators on Laurent polynomial algebra in prime characteristic
نویسنده
چکیده
Let K be a field of characteristic p > 0. It is proved that the group Autord(D(Ln)) of order preserving automorphisms of the ring D(Ln) of differential operators on a Laurent polynomial algebra Ln := K[x ±1 1 , . . . , x n ] is isomorphic to a skew direct product of groups Z n p⋊AutK(Ln) where Zp is the ring of p-adic integers. Moreover, the group Autord(D(Ln)) is found explicitly. Similarly, Autord(D(Pn)) ≃ AutK(Pn) where Pn := K[x1, . . . , xn] is a polynomial algebra.
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