Topological representation zeta functions of unipotent groups

DOI10.1016/j.jalgebra.2015.09.050zbMath1409.11074arXiv1503.01942OpenAlexW2964219587MaRDI QIDQ903938

Tobias Rossmann

Publication date: 15 January 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01942

zbMATH Keywords

unipotent groupsrepresentation growthtopological zeta functions

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Representation theory for linear algebraic groups (20G05) Other Dirichlet series and zeta functions (11M41) Linear algebraic groups over global fields and their integers (20G30)

Related Items

Enumerating traceless matrices over compact discrete valuation rings, Stability results for local zeta functions of groups algebras, and modules, A Framework for Computing Zeta Functions of Groups, Algebras, and Modules, Representation growth of the Heisenberg group over 𝒪[x/(x3)], Computing local zeta functions of groups, algebras, and modules, Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces, Zeta functions of groups and rings -- functional equations and analytic uniformity, Zeta functions associated to admissible representations of compact 𝑝-adic Lie groups, Univariate and bivariate zeta functions of unipotent group schemes of type G, Uniform analytic properties of representation zeta functions of finitely generated nilpotent groups

Uses Software

• SageMath
• Zeta

Cites Work

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