In this chapter, we describe the irreducible projective representations of a finite Abelian group: we shall use the Clifford theory from the previous chapter. Then, by means of the machinery developed in Sect. 7.3, we describe the ordinary, irreducible representations of finite metabelian groups. As a particular case, we obtain an alternative description of the irreducible representations of finite 2-step nilpotent groups (cf. Sect. 6.6 ).
Projective representations of finite abelian groups with applications / Ceccherini-Silberstein, T.; Scarabotti, F.; Tolli, F.. - (2022), pp. 273-311. - SPRINGER MONOGRAPHS IN MATHEMATICS. [10.1007/978-3-031-13873-7_10].
Projective representations of finite abelian groups with applications
Scarabotti F.;
2022
Abstract
In this chapter, we describe the irreducible projective representations of a finite Abelian group: we shall use the Clifford theory from the previous chapter. Then, by means of the machinery developed in Sect. 7.3, we describe the ordinary, irreducible representations of finite metabelian groups. As a particular case, we obtain an alternative description of the irreducible representations of finite 2-step nilpotent groups (cf. Sect. 6.6 ).| File | Dimensione | Formato | |
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