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This article studies the superizations of M_0, i.e. its extensions to a homogeneous supermanifold M=G/H whose sheaf of superfunctions is isomorphic to Lambda(S^*(M_0)). Here G is a Lie supergroup which is the superization of the Lie group G_0 associated with a certain extension of the Lie algebra g_0 to a Lie superalgebra g=g_0+g_1=g_0+S, via the Kostant construction"},"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":"0905.4027","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-05-23T11:42:46Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"9f954811a4a80f83197abc24ae388d7d98966bc29b0cff50501c959b381faa30","abstract_canon_sha256":"ed68d3b27feb96e5dd59f90591a2815bf24931ab2c9e411c6d32ff8c8ff66b77"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:37.698031Z","signature_b64":"Bg+vDl8kMddAAlXEOLfjrONvQFfTlDAh9GvV86QEQDZRUSYpK0flhkNkaC5llhaFs5bfw07DdjWp2H4TNmJ3Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c80334925cee01da5164e5b90bc25387f653d30d841a47d882652b690d965b2","last_reissued_at":"2026-05-18T02:13:37.697363Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:37.697363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Superizations of Cahen-Wallach symmetric spaces and spin representations of the Heisenberg algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.RT","authors_text":"Andrea Santi","submitted_at":"2009-05-23T11:42:46Z","abstract_excerpt":"Let M_0=G_0/H be a (n+1)-dimensional Cahen-Wallach Lorentzian symmetric space associated with a symmetric decomposition g_0=h+m and let S(M_0) be the spin bundle defined by the spin representation r:H->GL_R(S) of the stabilizer H. 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