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We then discuss the choice of the framing parameter. This leads, for any rank N and level K, to a modular category \\tilde H^{N,K} and a reduced invariant \\tilde\\tau_{N,K}. If N and K are coprime, then this invariant coincides with the known PSU(N) invariant at level K. If gcd(N,K)=d>1, then we s"},"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":"math/9803114","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"1998-03-24T18:23:48Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"71b7040d8fc7ce72209d269dce2003cd8ff51b520b13584391c56a1d7fc9189c","abstract_canon_sha256":"12015a5e96f7b48ab55fca0f54e3e18b70c67596eda55f705abc190bc6722b3b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:09.979137Z","signature_b64":"Kw8SMzkK7IjZ7haziGZvDC++gYlA/lFrYcRcBSbhKrwpCyzCrKvmgPQl7XbMjwD4Sm4flkoBlcBaYlkLQdqjCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4c6b4d16c3d45d4c8252bb64639f63077622b55b5ac0fb277b0ef5e0fb51370","last_reissued_at":"2026-05-18T03:05:09.978645Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:09.978645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hecke algebras, modular categories and 3-manifolds quantum invariants","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"math.GT","authors_text":"Christian Blanchet","submitted_at":"1998-03-24T18:23:48Z","abstract_excerpt":"We construct modular categories from Hecke algebras at roots of unity. For a special choice of the framing parameter, we recover the Reshetikhin-Turaev invariants of closed 3-manifolds constructed from the quantum groups U_q sl(N) by Reshetikhin-Turaev and Turaev-Wenzl, and from skein theory by Yokota. We then discuss the choice of the framing parameter. This leads, for any rank N and level K, to a modular category \\tilde H^{N,K} and a reduced invariant \\tilde\\tau_{N,K}. If N and K are coprime, then this invariant coincides with the known PSU(N) invariant at level K. 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