My professor has told me to read "tube domain over symmetric cone". While saying so he said something related to complexificatin of real Lie algebra and representation theory. What is connection between all these concepts? What mathematical questions does it answer?
Given that I have taken courses on measure theory and topology and representation theory of finite groups only, on what books and references should I rely upon to write good M.Sc. thesis? Please narrate the references and their relevant concepts.
He has given me a book title "Analysis on the symmetric cones" by Jacques Faraut and Adam Korayani and told me to directly go to the chapter on "tube domain over symmetric cone".
I can not figure out as to how to proceed. Any help will be appreciated. Thanks.