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We state a general Conjecture about the possible unramified characters $\\chi$ such that the unramified sub-representation of $Ind_{B^{(r)}}^{G^{(r)}}\\chi\\delta_B^{1/2}$ will have no nonzero Whittaker function. We prove this Conjecture for the groups $GL_n^{(r)}$ with $r\\ge n-1$, and for the exceptional groups $G_2^{(r)}$ when $r\\ne 2$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1705.01770","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-05-04T10:02:26Z","cross_cats_sorted":[],"title_canon_sha256":"1e1cee3528f95ce48c0cdfa9e7499a0f5cfb037355c30da2de168343da3bbcdd","abstract_canon_sha256":"74524f1645beb5083d7087485bc58c7d69b029648990f6ce477eed2e0ecda8c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:02.335997Z","signature_b64":"XpVUFOdXEgn7BFTWVYF/H2ZZ9tnOJ1hWNsKwGKD2qlcr+uOqngxp1AtUHiNs/svhzI7lplkKQ/69WQ+tLCItCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bca9d367602a8068d8fb469e41ba3eb2e9d008672e805e7e92b91f362da6a9e7","last_reissued_at":"2026-05-18T00:45:02.335534Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:02.335534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Generic Unramified Representations in Metaplectic Covering Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"David Ginzburg","submitted_at":"2017-05-04T10:02:26Z","abstract_excerpt":"Let $G^{(r)}$ denote the metaplectic covering group of the linear algebraic group $G$. 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