{"paper":{"title":"A theorem of M{\\oe}glin-Waldspurger for covering groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Shiv Prakash Patel","submitted_at":"2014-03-19T16:40:25Z","abstract_excerpt":"Let $E$ be a non-Archimedian local field of characteristic zero and residue characteristic $p$. Let ${\\bf G}$ be a connected reductive group defined over $E$ and $\\pi$ an irreducible admissible representation of $G={\\bf G}(E)$. A result of C. M{\\oe}glin and J.-L. Waldspurger (for $p \\neq 2$) and S. Varma (for $p=2$) states that the leading coefficient in the character expansion of $\\pi$ at the identity element of ${\\bf G}(E)$ gives the dimension of a certain space of degenerate Whittaker forms. In this paper we generalize this result of M{\\oe}glin-Waldspurger to the setting of covering groups "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4875","kind":"arxiv","version":2},"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"}