A note on the rational homological dimension of lattices in positive characteristic
We show via ℓ2 -homology that the rational homological dimension of a lattice in a product of simple simply connected Chevalley groups over global function fields is equal to the rational cohomological dimension and to the dimension of the associated Bruhat–Tits building.
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| Format: | Journal article |
| Language: | English |
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Cambridge University Press
2022
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| _version_ | 1797108418865004544 |
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| author | Hughes, S |
| author_facet | Hughes, S |
| author_sort | Hughes, S |
| collection | OXFORD |
| description | We show via ℓ2 -homology that the rational homological dimension of a lattice in a product of simple simply connected Chevalley groups over global function fields is equal to the rational cohomological dimension and to the dimension of the associated Bruhat–Tits building. |
| first_indexed | 2024-03-07T07:28:56Z |
| format | Journal article |
| id | oxford-uuid:7b8c92c8-7e46-4000-91ba-86d5c08abffa |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:28:56Z |
| publishDate | 2022 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:7b8c92c8-7e46-4000-91ba-86d5c08abffa2022-12-12T09:41:56ZA note on the rational homological dimension of lattices in positive characteristicJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7b8c92c8-7e46-4000-91ba-86d5c08abffaEnglishSymplectic ElementsCambridge University Press2022Hughes, SWe show via ℓ2 -homology that the rational homological dimension of a lattice in a product of simple simply connected Chevalley groups over global function fields is equal to the rational cohomological dimension and to the dimension of the associated Bruhat–Tits building. |
| spellingShingle | Hughes, S A note on the rational homological dimension of lattices in positive characteristic |
| title | A note on the rational homological dimension of lattices in positive characteristic |
| title_full | A note on the rational homological dimension of lattices in positive characteristic |
| title_fullStr | A note on the rational homological dimension of lattices in positive characteristic |
| title_full_unstemmed | A note on the rational homological dimension of lattices in positive characteristic |
| title_short | A note on the rational homological dimension of lattices in positive characteristic |
| title_sort | note on the rational homological dimension of lattices in positive characteristic |
| work_keys_str_mv | AT hughess anoteontherationalhomologicaldimensionoflatticesinpositivecharacteristic AT hughess noteontherationalhomologicaldimensionoflatticesinpositivecharacteristic |