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)