Representation growth of the Heisenberg group over 𝒪[x]/(x3)

DOI10.1142/S0219498817500773zbMath1425.11154arXiv1508.03507MaRDI QIDQ2988772

Duong Hoang Dung

Publication date: 19 May 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03507

zbMATH Keywords

finitely generated nilpotent groupsrepresentation zeta functionsKirillov orbit method\(p\)-adic integrals

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Nilpotent groups (20F18) Other Dirichlet series and zeta functions (11M41) Linear algebraic groups over global fields and their integers (20G30) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (1)

Zeta functions of groups and rings -- functional equations and analytic uniformity

Cites Work

• Unnamed Item
• Counting irreducible representations of the Heisenberg group over the integers of a quadratic number field.
• Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces
• Topological representation zeta functions of unipotent groups
• Varieties of representations of finitely generated groups
• Uniform analytic properties of representation zeta functions of finitely generated nilpotent groups
• Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B

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