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Let $\\Lambda$ be a uniform lattice in $G$ such that $\\theta(\\Lambda)=\\Lambda.$ Suppose that $G$ is one of the groups $SU(p,q), p<q-1, q\\ge 5, SO_0(2,q)$, $Sp(n,\\mathbb{R}), n\\ne 4, SO^*(2n), n\\ge 9.$ Then there exists a unique irreducible unitary representation $\\mathcal{A}_\\mathfrak{q}$ associated to "},"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":"1703.03206","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-03-09T10:08:41Z","cross_cats_sorted":[],"title_canon_sha256":"6d97f7528065a47b54b954127d0a4803d07926a2af99b02e9ae2a2e4d58b3ef2","abstract_canon_sha256":"822498df0e4e9a1ed2bac6fb01bac6286056173db8ad8eaf5cf96f8cfe07b5b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:01.126060Z","signature_b64":"Fqf057WRZmJnwEwC5HTf9FyDprKtnGFslZq9fNS3tZ0Yu1qHcaF/bNfELEU+g0Ek48+95F9YQ1Z03wt+XExtCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad05b0a3c1d39ab4f3dd8d64b8037502cce0bcc70f883c5e5ecab51d81a8f65f","last_reissued_at":"2026-05-18T00:49:01.125151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:01.125151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric cycles in compact locally Hermitian symmetric spaces and automorphic representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Arghya Mondal, Parameswaran Sankaran","submitted_at":"2017-03-09T10:08:41Z","abstract_excerpt":"Let $G$ be a linear connected non-compact real simple Lie group and let $K\\subset G$ be a maximal compact subgroup of $G$. 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