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As an application of these results, the results of [O4] on the spectral correspondences associated with such morphisms and some results of Ciubotaru, Kato and Kato [CKK] we prove a conjecture of Hiraga, Ichino and Ikeda [HII] on the formal degrees and adjoint gamma facto"},"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":"1310.7790","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-10-29T12:53:10Z","cross_cats_sorted":[],"title_canon_sha256":"8dfc130543dbd6d48b5fe8545e6f0ca35c90d01f4dc4ce48fb82a889b8051994","abstract_canon_sha256":"7788e402172f4e6d7d83b7288567f46deeeaebe3e43239c7e75baf92e1e765f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:35.615551Z","signature_b64":"qV4jLrI+4opSc8ljQJth+H38CZVUN4NDu7XmxnZGO3IuxqdRnsFd6oqw//UwFrWvbltkjhA99il32NTF4yFfDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98388839c27c5297a9515f624d549e0932d46b9555399e7bf8e647803d33d070","last_reissued_at":"2026-05-18T01:30:35.614804Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:35.614804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral transfer morphisms for unipotent affine Hecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Eric Opdam","submitted_at":"2013-10-29T12:53:10Z","abstract_excerpt":"In this paper we will give a complete classification of the spectral transfer morphisms between the unipotent affine Hecke algebras of the various inner forms of a given quasi-split absolutely simple algebraic group, defined over a non-archimidean local field $\\textbf{k}$ and split over an unramified extension of $\\textbf{k}$. 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