Springer Monographs in Mathematics
Given a pseudodifferential operator, as was discussed in Section 1.4, we can obtain the corresponding formal power series by using some constant multiples of its coefficients in such a way that the correspondence is (formula presented)-equivariant. The space of pseudodifferential operators is a noncommutative algebra over (formula presented) and therefore has a natural structure of a Lie algebra. In this chapter we determine the corresponding Lie algebra structure on the space of formal power series and study some of its properties. We also discuss these results in connection with automorphic pseudodifferential operators, Jacobilike forms, and modular series for a discrete subgroup of (formula presented) (cf. ).
Department of Mathematics
Original Publication Date
DOI of published version
UNI ScholarWorks, Rod Library, University of Northern Iowa
Choie, Young Ju and Lee, Min Ho, "Lie algebras" (2019). Faculty Publications. 567.