{"paper":{"title":"Local theta lifting of generalized Whittaker models associated to nilpotent orbits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Chen-bo Zhu, Raul Gomez","submitted_at":"2013-02-15T12:52:52Z","abstract_excerpt":"Let $(G,\\tilde{G})$ be a reductive dual pair over a local field ${\\Fontauri k}$ of characteristic 0, and denote by $V$ and $\\tilde{V}$ the standard modules of $G$ and $\\tilde{G}$, respectively. Consider the set $Max Hom(V,\\tilde{V})$ of full rank elements in $Hom(V,\\tilde{V})$, and the nilpotent orbit correspondence $\\mathcal{O} \\subset \\mathfrak{g}$ and $\\Theta (\\mathcal{O})\\subset \\tilde{\\mathfrak{g}}$ induced by elements of $Max Hom(V,\\tilde{V})$ via the moment maps. Let $(\\pi,\\mathscr{V})$ be a smooth irreducible representation of $G$. We show that there is a correspondence of the generali"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3744","kind":"arxiv","version":3},"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"}