# Group of automorphisms of localization of polynomial ring

Let P_{n} be a polynomial ring P_{n}:=K[x_{1},...,x_{n}] and let us consider localization of P_{n} by prime ideal I and denote it via B_{n} and also consider local Weyl algebra: A_{n}:=B_{n}[d_{1},...,d_{n}], where d_{i} is partial derivative by x_{i}.

Questions:

Is there known group of automorphisms of B_{n} ? (here n=2)

Is there known group of automorphisms of A_{n} ? (n=1)

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Do you only intend the questions for $n=2$ and for $n=1$, respectively? –  Mariano Suárez-Alvarez Apr 8 '11 at 22:00
Yes, here I ask the questions only for n=2 and for n=1 respectively! Of course I would like to know the answer in general, but for the higher n it seems to be very difficult. –  Andriy Apr 8 '11 at 23:13