Representation zeta functions of groups of type $A_2$ in positive characteristic
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917654942449664 |
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| author | Onn, Uri Prasad, Amritanshu Singla, Pooja |
| author_facet | Onn, Uri Prasad, Amritanshu Singla, Pooja |
| contents | We prove two conjectures regarding the representation growth of groups of type $A_2$. The first, conjectured by Avni, Klopsch, Onn and Voll, regards the uniformity of representation zeta functions over local complete discrete valuation rings. The second is the Larsen--Lubotzky conjecture on the representation growth of irreducible lattices in groups of type $A_2$ in positive characteristic assuming Serre's conjecture on the congruence subgroup problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_07073 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Representation zeta functions of groups of type $A_2$ in positive characteristic Onn, Uri Prasad, Amritanshu Singla, Pooja Representation Theory 22E50 (Primary) 11M41, 20C15, 20G25, 20H05 (Secondary) We prove two conjectures regarding the representation growth of groups of type $A_2$. The first, conjectured by Avni, Klopsch, Onn and Voll, regards the uniformity of representation zeta functions over local complete discrete valuation rings. The second is the Larsen--Lubotzky conjecture on the representation growth of irreducible lattices in groups of type $A_2$ in positive characteristic assuming Serre's conjecture on the congruence subgroup problem. |
| title | Representation zeta functions of groups of type $A_2$ in positive characteristic |
| topic | Representation Theory 22E50 (Primary) 11M41, 20C15, 20G25, 20H05 (Secondary) |
| url | https://arxiv.org/abs/2308.07073 |