An algebra of diffential operators and generating functions on the set of univalent functions
Developing approach and ideas of \textit{A. A. Kirillov} [J.~Math.~Pures Appl., IX. Sér. 77, No. 8, 735-746 (1998; Zbl 0922.58078)], the authors construct the system of partial differential equations having Faber polynomials as a solution and obtain generating functions for related sequences of vector fields. The context is representations of the Virasoro algebra.
scientific article; zbMATH DE number 1795940