English

Primitive irreducible representations of finitely generated nilpotent groups

Representation Theory 2022-07-07 v1 Group Theory

Abstract

In the paper we show that any irreducible representation of a finitely generated nilpotent group GG over a finitely generated field FF of characteristic zero is induced from a primitive representation of some subgroup of GG.

Keywords

Cite

@article{arxiv.2207.02471,
  title  = {Primitive irreducible representations of finitely generated nilpotent groups},
  author = {Anatolii V. Tushev},
  journal= {arXiv preprint arXiv:2207.02471},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2104.14768

R2 v1 2026-06-24T12:15:28.840Z