Faculty Publications

Title

Lie algebras

Document Type

Article

Journal/Book/Conference Title

Springer Monographs in Mathematics

First Page

77

Last Page

89

Abstract

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. [66]).

Original Publication Date

1-1-2019

DOI of published version

10.1007/978-3-030-29123-5_4

Repository

UNI ScholarWorks, Rod Library, University of Northern Iowa

Language

en

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