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Kostant defined two filtrations on h, one using the Clifford algebras and the odd analogue of the Harish-Chandra projection $hc: Cl(g) \\to Cl(h)$, and the other one using the canonical isomorphism $\\check{h} = h^*$ (here $\\check{h}$ is the Cartan subalgebra in the simple Lie algebra corresponding to the dual root system) and the adjoint action of the principal sl2-triple. Kostant conjectured that the two filtrations coincide. The two filtrations arise in very different contexts, and comparing them prov"},"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":"1111.2141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-11-09T09:02:13Z","cross_cats_sorted":[],"title_canon_sha256":"24c8758bb6ef36f32390e19d018959a76741e27f915353f8adbe3e3656d6bcbb","abstract_canon_sha256":"8be5765c19ab5b51e2f419678f4117af2709aced0c91a2b01720039b29ac5b5d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:44.035049Z","signature_b64":"48ixmwv2aWC0z0J6MguCRyu9jT9W1zNAF4p7JamRB/vOd2SyNru29rRroXYloa4F3kjGmaMC0y/HoZyK04NfDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29dfb254ae8d643adf8619d356c79bf3e0bdee14ce98701ff8bdc0e6ce50c330","last_reissued_at":"2026-05-18T04:08:44.034614Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:44.034614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Kostant conjecture for Clifford algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Anne Moreau (LMA), Anton Alekseev","submitted_at":"2011-11-09T09:02:13Z","abstract_excerpt":"Let g be a complex simple Lie algebra, and h be a Cartan subalgebra. 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