The Geometry of Infinite Dimensional Groups

Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory. The exposition includes an introduction to the subject, some highlights of the theory and recent results in the field, and is therefore appropriate for advanced graduate students entering the field as well as research mathematicians wishing to expand their knowledge.

Authors: Kobayashi, Toshiyuki, Kubo, Toshihisa, Pevzner, Michael
Introduces a cutting-edge method for effective construction of symmetry breaking operators for branching rules in representation theory
Includes hot topics of conformal geometry and global analysis as applications of representation theory
Provides the complete classification of all conformally equivariant differential operators on forms on the model space (Sn, Sn-1)

This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2019.