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Let $S^3g^H$ be the set of $g^H$-valued smooth mappings over $S^3$. The Lie algebra structure on $S^3g^H$ is induced naturally from that of $g^H$. On $S^3$ exists the space of Laurent polynomial spinors spanned by a complete orthogonal system of eigen spinors of the tangential Dirac operator on $S^3$. Tensoring $U(g)$ we have the space of $U(g)$-valued L"},"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":"1306.5030","kind":"arxiv","version":9},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-21T01:40:56Z","cross_cats_sorted":["math.DG","math.MP","math.RA"],"title_canon_sha256":"32c045d48f08f7af8862a256f3fe2c421690140f9b74e88685b48f25b3526452","abstract_canon_sha256":"35a23ae371e958749ed35fb8ec7598de7677b8b9997f133d56a8550169799047"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:39.956217Z","signature_b64":"2/1WCQdtctlmL2NAkzPPHP9HIbR6SXULVAJW713BZMWNBlFTGlB/zrDbYwWrEpW10vlLb/cLLb5hsVLh9rR/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec6e819dc19036f44eb6103cd1e2f84761ee4f8f97236f1a9e6a0157b2cd673b","last_reissued_at":"2026-05-18T01:25:39.955754Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:39.955754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quaternifiations and extensions of current algebras on S^3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.MP","math.RA"],"primary_cat":"math-ph","authors_text":"Tosiaki Kori, Yuto Imai","submitted_at":"2013-06-21T01:40:56Z","abstract_excerpt":"Let $H$ be the quaternion algebra. 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