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We set $\\Delta_{\\mu/ij}=\\det \\| x_i^{p_j}y_i^{q_j} \\|_{i,j=1}^n$, where $(p_1,q_1),... ,(p_n,q_n)$ are the cells of $\\mu/ij$, and let ${\\bf M}_{\\mu/ij}$ be the linear span of the partial derivatives of $\\Delta_{\\mu/ij}$. The bihomogeneity of $\\Delta_{\\mu/ij}$ and its alternating nature under the diagonal action of $S_n$ gives"},"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/9809126","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CO","submitted_at":"1998-09-22T16:29:06Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"aaded4ef9b26e9cb319469327f4d999fe47ac1d74437561c680f57c37050e1a0","abstract_canon_sha256":"903f422deb7fcfe3a16732245c3627afb155ee8283f655af4d4962d24aec0039"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:03.378581Z","signature_b64":"GKbvEGtRJ6kabDTPWyv03Oi9gbqTB0Eo0EGSOWTEPFIyhs364ygjzEG7TkV1cRO/uT+FXqkGNeKTxk0SgPujCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5eb2269edba925a5843be32c1d1410f91c54005c6207183e97f95c274f2a6f95","last_reissued_at":"2026-05-18T01:00:03.377616Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:03.377616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lattice Diagram Polynomials and Extended Pieri Rules","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"math.CO","authors_text":"A. 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