Symmetries of modules of differential operators
نویسنده
چکیده
Let Fλ(S) be the space of tensor densities of degree (or weight) λ on the circle S. The spaceDk λ,μ(S1) of k-th order linear differential operators from Fλ(S) to Fμ(S) is a natural module over Diff(S), the diffeomorphism group of S. We determine the algebra of symmetries of the modules Dk λ,μ(S1), i.e., the linear maps on Dk λ,μ(S1) commuting with the Diff(S)-action. We also solve the same problem in the case of straight line R (instead of S) and compare the results in the compact and non-compact cases.
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