
144 Commutation Relations, Normal Ordering, and Stirling Numbers
5.1.3 The Weyl Algebra as Starting Point to D-Modules
In this section we point out one direction of research which has been very important for
several branches of mathematics, for instance, representation theory and partial differential
equations. However, since this aspect will not be important later on we will be brief and
refer to [303, 304] for further information and references; be warned that this section is not
self-contained and mentions some concepts used nowhere else in this book.
Let R be a commutative algebra over C.Thering of differential operators D(R) is defined
inductively ...