Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Representation Theory of Finite Group Extensions: Clifford Theory, Mackey Obstruction, and the Orbit Method

Representation Theory of Finite Group Extensions: Clifford Theory, Mackey Obstruction, and the Orbit Method

Ceccherini-Silberstein, Tullio
Scarabotti, Fabio
Tolli, Filippo

Hardcover

Series: Springer Monographs in Mathematics

Algebra

ISBN10: 3031138724
ISBN13: 9783031138720
Publisher: Springer Nature
Published: Nov 30 2022
Pages: 340
Weight: 1.48
Height: 0.81 Width: 6.14 Depth: 9.21
Language: English
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.

The main topics are, on the one hand, Clifford Theory and the Little Group Method (of Mackey and Wigner) for induced representations, and, on the other hand, Kirillov's Orbit Method (for step-2 nilpotent groups of odd order) which establishes a natural and powerful correspondence between Lie rings and nilpotent groups. As an application, a detailed description is given of the representation theory of the alternating groups, of metacyclic, quaternionic, dihedral groups, and of the (finite) Heisenberg group.

1 different editions

Also available

Also from

Ceccherini-Silberstein, Tullio

View All

Also in

Algebra

View All