Representation Theory Of Finite Group Extensions Clifford Theory Mackey Obstruction And The Orbit Method Tullio Ceccherinisilberstein by Tullio Ceccherini-silberstein, Fabio Scarabotti, Filippo Tolli 9783031138720, 3031138724 instant download after payment.

The present book aims at developing powerful methods and tools, ranging from low-dimensional group cohomology to Clifford theory and to Mackey-Wigner theory, providing, via a thorough analysis of all such related intertwined concepts, a complete answer to the above questions. Our general approach—with
an emphasis on the fundamental contributions of Mackey, from Mackey’s lemma (on the decomposition of ResG
KIndG H, where H,K ≤ G) to Mackey’s obstruction (whose terminology we borrowed from Fell and Doran)—has a functional flavor and therefore it is more suitable for applications in a harmonic analytical framework.
We clearly have in mind that an alternative approach, based on character theory as Isaacs’ [67], on the one hand gives rise, sometimes, to shorter proofs and elegant applications to group theory, but, on the other hand, seems to be not sufficient in order to develop all the powerful tools for harmonic analysis and applications.