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Cocompact lattices in locally pro-p-complete rank 2 Kac-Moody groups
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Capdeboscq, Inna (Korchagina), Hristova, Katerina and Rumynin, Dmitriy (2020) Cocompact lattices in locally pro-p-complete rank 2 Kac-Moody groups. Matematicheskii Sbornik, 211 (8). pp. 3-19. doi:10.1070/SM9311
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Official URL: https://doi.org/10.1070/SM9311
Abstract
Lattices are investigated in a new class of locally compact groups, namely in locallyp-complete Kac – Moody groups. It is found that in the case of rank 2 cocompact lattices behave especially well: under small constraints, a cocompact lattice in such a completion has no elements of orderp... This statement is an open conjecture for Capras – Remy – Ronan completions. Using this statement and the results of I. Capdebosk and A. Thomas, cocompact lattices that are transitive on edges are classified, and a cocompact lattice of minimal covolume is described.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | Kac-Moody algebras, Lattice theory, Compact groups | |||||||||
| Journal or Publication Title: | Matematicheskii Sbornik | |||||||||
| Publisher: | Steklov Mathematical Institute of Russian Academy of Sciences | |||||||||
| ISSN: | 0368-8666 | |||||||||
| Official Date: | 2020 | |||||||||
| Dates: |
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| Date of first compliant deposit: | 24 April 2020 | |||||||||
| Volume: | 211 | |||||||||
| Number: | 8 | |||||||||
| Page Range: | pp. 3-19 | |||||||||
| DOI: | 10.1070/SM9311 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Publisher Statement: | `This is a preprint of the Article accepted for publication in Matematicheskii Sbornik 211(8). 2020. All distribution rights are owned by Steklov Mathematical Institute of Russian Academy of Sciences)’ | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| RIOXX Funder/Project Grant: |
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