Primitive irreducible representations of finitely generated nilpotent groups

2022/07/06 by Tushev, Anatolii V. · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2207.02471

openalex publication_date 2022/07/06 · openalex created_date 2023/01/02 · openalex updated_date 2026/07/28

Abstract

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

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