On projective representations of finitely generated groups

Abstract

We prove a characterization of monomial projective representations of finitely generated nilpotent groups. We also characterize polycyclic groups whose projective representations are finite dimensional.

Keywords:

• Finite weight
• monomial representations
• projective representations
• representation groups
• Schur multiplier

2020 MATHEMATICS SUBJECT CLASSIFICATION::

• 20C25
• 20C15
• 20G05
• 20F18

Additional information

Funding

The first named author acknowledges NBHM grant (0204/52/2019/R&D-II/333) and IISc Raman post doctoral fellowship (R(IA)/CVR-PDF/2020/2700) for their support. The second and third named authors are grateful to the support in the form of SERB MATRICS grant MTR/2018/000501 and MTR/2018/000094 respectively.