Casimir operators on pseudodifferential operators of several variables
Journal of Lie Theory
We study the actions of the Lie algebra nsl(2, ℂ) of SL(2, ℂ)n and the associated Casimir operator on the space of pseudodifferential operators of n variables. We describe the effect of the Casimir operator on a pseudodifferential operator in connection with the symbol map and construct an nsl(2, ℂ)-invariant lifting of the symbol map.
Original Publication Date
Lee, Min Ho, "Casimir operators on pseudodifferential operators of several variables" (2002). Faculty Publications. 3368.