Representation Theory of Finite Group Extensions
Representation Theory of Finite Group Extensions:
Clifford Theory, Mackey Obstruction, and the Orbit Method
English | 2022 | ISBN: 3031138724 | 353 Pages | PDF EPUB (True) | 21.3 MB
Clifford Theory, Mackey Obstruction, and the Orbit Method
English | 2022 | ISBN: 3031138724 | 353 Pages | PDF EPUB (True) | 21.3 MB
This monograph adopts an operational and functional analytic approach to the following problem: given a short exact sequence (group extension) 1 → N → G → H → 1 of finite groups, describe the irreducible representations of G by means of the structure of the group extension. This problem has attracted many mathematicians, including I. Schur, A.H. Clifford, and G. Mackey and, more recently, M. Isaacs, B. Huppert, Y.G. Berkovich & E.M. Zhmud, and J.M.G. Fell & R.S. Doran.