Representation Theory of Finite Group Extensions

Tullio Ceccherini-Silberstein obtained his BS in Mathematics (1990) from the University of Rome “La Sapienza” and his PhD in Mathematics (1994) from UCLA. Currently, he is professor of Mathematical Analysis at the University of Sannio (Benevento). He is an Editor of the EMS journal “Groups, Geometry, and Dynamics” and of the Bulletin of the Iranian Mathematical Society. He has authored more than 90 research articles in Functional and Harmonic Analysis, Group Theory, Ergodic Theory and Dynamical Systems, and Theoretical Computer Science and has co-authored 9 monographs on Harmonic Analysis and Representation Theory and on Group Theory and Dynamical Systems. Fabio Scarabotti obtained his BS in Mathematics (1989) and his PhD in Mathematics (1994) from the University of Rome “La Sapienza”.  Currently, he is professor of Mathematical Analysis at the University of Rome “La Sapienza”. He has authored more than 40 research articles in Harmonic Analysis, Group Theory, Combinatorics, Ergodic Theory and Dynamical Systems, and Theoretical Computer Science and has co-authored 6 monographs on Harmonic Analysis and Representation Theory.Filippo Tolli obtained his BS in Mathematics (1991) from the University of Rome “La Sapienza” and his PhD in Mathematics (1996) from UCLA. Currently, he is professor of Mathematical Analysis at the University of Roma Tre. He has authored more than 30 research articles in Harmonic Analysis, Group Theory, Combinatorics, Lie Groups and Partial Differential Equations and has co-authored 6 monographs on Harmonic Analysis and Representation Theory.

• - 1. Preliminaries. - 2. Clifford Theory. - 3. Abelian Extensions. - 4. The Little Group Method for Abelian Extensions. - 5. Examples and Applications. - 6. Central Extensions and the Orbit Method. - 7. Representations of Finite Group Extensions via Projective Representations. - 8. Induced Projective Representations. - 9. Clifford Theory for Projective Representations. - 10 Projective Representations of Finite Abelian Groups with Applications.