Arithmetic Groups Have Rational Representation Growth

Nir Avni

Type: Preprint

Publication Date: 2008-01-01

Citations: 4

DOI: https://doi.org/10.48550/arxiv.0803.1331

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Arithmetic groups have rational representation growth	2011	Nir Avni
+	Representation Growth	2016	Javier García-Rodríguez
+	Representation Growth	2016	Javier García-Rodríguez
+	Subgroup growth of lattices in semisimple Lie groups	2004	Alexander Lubotzky Nikolay Nikolov
+ PDF Chat	Subgroup growth of lattices in semisimple Lie groups	2004	Alexander Lubotzky Nikolay Nikolov
+	Arithmetic groups, base change, and representation growth	2011	Nir Avni Benjamin Klopsch Uri Onn Christopher Voll
+	Arithmetic groups, base change, and representation growth	2011	Nir Avni Benjamin Klopsch Uri Onn Christopher Voll
+	Representation growth and representation zeta functions of groups	2012	Benjamin Klopsch
+	Representation growth and representation zeta functions of groups	2012	Benjamin Klopsch
+ PDF Chat	Counting congruence subgroups	2004	Dorian Goldfeld Alexander Lubotzky László Pyber
+	Arithmetic lattices in semisimple groups	1982	M. S. Raghunathan
+	Arithmetic lattices in unipotent algebraic groups	2018	Khalid Bou-Rabee Daniel Studenmund
+	Arithmetic lattices in unipotent algebraic groups	2018	Khalid Bou-Rabee Daniel Studenmund
+	Representation growth and representation zeta functions of groups	2013	Benjamin Klopsch
+	Representation growth of finite quasisimple groups	2013	Jokke Häsä
+	Commensurators of normal subgroups of lattices	2022	David E. Fisher Mahan Mj Wouter van Limbeek
+	Representation growth of irreducible lattices in higher rank semisimple groups	2013	Benjamin Klopsch
+	Polynomial representation growth and the congruence subgroup problem	2004	Alexander Lubotzky Benjamin Martin
+ PDF Chat	Congruence representations in algebraic number fields	1953	Eckford Cohen
+ PDF Chat	Arithmetic lattices in unipotent algebraic groups	2019	Khalid Bou-Rabee Daniel Studenmund

Works That Cite This (4)

Action	Title	Year	Authors
+ PDF Chat	On representation zeta functions of groups and a conjecture of Larsen–Lubotzky	2010	Nir Avni Benjamin Klopsch Uri Onn Christopher Voll
+ PDF Chat	Representation zeta functions of wreath products with finite groups	2010	Laurent Bartholdi Pierre de la Harpe
+ PDF Chat	Representation zeta functions of compact p-adic analytic groups and arithmetic groups	2013	Nir Avni Benjamin Klopsch Uri Onn Christopher Voll
+	On representation zeta functions of groups and a conjecture of Larsen and Lubotzky	2009	Nir Avni Benjamin Klopsch Uri Onn Christopher Voll

Works Cited by This (8)

Action	Title	Year	Authors
+	Uniform p-adic cell decomposition and local zeta functions.	1989	Johan Pas
+	Introduction to Toric Varieties.	1993	William Fulton
+	Representations of Finite Groups of Lie Type	2020	François Digne Jean Michel
+	Zeta function of representations of compact 𝑝-adic analytic groups	2005	Andrei Jaikin‐Zapirain
+ PDF Chat	Kirillov theory for compact<i>p</i>-adic groups	1977	Roger Howe
+	Polynomial representation growth and the congruence subgroup problem	2004	Alexander Lubotzky Benjamin Martin
+ PDF Chat	Analytic Properties of Zeta Functions and Subgroup Growth	2000	Marcus du Sautoy Fritz Grunewald
+ PDF Chat	Representation growth of linear groups	2008	Michael Larsen Alexander Lubotzky