{"paper":{"title":"Regular characters of groups of type A_n over discrete valuation rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Pooja Singla, Roi Krakovski, Uri Onn","submitted_at":"2016-04-04T01:12:56Z","abstract_excerpt":"Let O be a complete discrete valuation ring with finite residue field k of odd characteristic. Let G be a general or special linear group or a unitary group defined over O and let $\\mathfrak{g}$ denote its Lie algebra. For every positive integer l, let $K^l$ be the l-th principal congruence subgroup of G(O). A continuous irreducible representation of G(O) is called regular of level l if it is trivial on $K^{l+1}$ and its restriction to $K^l/K^{l+1} \\simeq \\mathfrak{g}(k)$ consists of characters with G(k)-stabiliser of minimal dimension. In this paper we construct the regular characters of G(O)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00712","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}