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The action of $\\g'\\simeq R[2]$ exponentiates to an action of the corresponding Lie group $G'$ on a $G'$-cover $M'$ of a nilpotent orbit in $\\g'$ such that $M$ is open dense in $M'$. We determine all such pairs $(\\g\\subset\\g')$."},"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/9204227","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"1992-04-01T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"affdb07802992dc310bf45d7a625e0b595a53be0be9b6e089ba7b40e4b7adbad","abstract_canon_sha256":"81a63c1bb6281042737ae03347265683fe54b2a583d535a54cac21394763b8ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:52.863861Z","signature_b64":"C4Q3dxuXmH29UTS3tfS6w9mYFh5OtlQOjiD3BnqkYlB+OpSrkoojCaN183w/m6Cvy6+0608rTHAQ3IMc2eTKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"324fe2bf47d9f756ac95fd99c7209f717d19b3f82c6c3fb1ba7c369562dcb85b","last_reissued_at":"2026-05-18T01:05:52.863382Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:52.863382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nilpotent orbits, normality, and Hamiltonian group actions","license":"","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Bertram Kostant, Ranee Brylinski","submitted_at":"1992-04-01T00:00:00Z","abstract_excerpt":"Let $M$ be a $G$-covering of a nilpotent orbit in $\\g$ where $G$ is a complex semisimple Lie group and $\\g=\\text{Lie}(G)$. 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