On representation zeta-functions of groups and a conjecture of Larsen-Lubotzky

DOI10.1016/j.crma.2010.02.019zbMath1186.22018arXiv0912.4739OpenAlexW2024682464WikidataQ123156014 ScholiaQ123156014MaRDI QIDQ964423

Uri Onn, Nir Avni, Christopher Voll, Benjamin Klopsch

Publication date: 15 April 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.4739

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (4)

On representations of general linear groups over principal ideal local rings of length two. ⋮ Counting irreducible representations of the Heisenberg group over the integers of a quadratic number field. ⋮ Representation zeta functions of compact \(p\)-adic analytic groups and arithmetic groups ⋮ Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A₂

Cites Work

• Functional equations for zeta functions of groups and rings
• Kirillov theory for compact p-adic groups
• Polynomial representation growth and the congruence subgroup problem.
• Representation zeta functions of compact \(p\)-adic analytic groups and arithmetic groups
• Representation growth of linear groups
• Representation zeta functions of some compact 𝑝-adic analytic groups
• Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra
• Zeta function of representations of compact 𝑝-adic analytic groups

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