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The second problem we consider is to construct a $U_h(\\g)$ invariant two parameter (double) quantization, $\\A_{t,h}$, of $\\A$ such that $\\A_{t,0}$ is a G invariant quantization of $s$. We call $\\A_{t,h}$ a $U_h(\\g)$ invariant quantization of the Poisson bracket s.\n  In the paper we study the cases when G is a s"},"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/9909160","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"1999-09-27T15:27:13Z","cross_cats_sorted":[],"title_canon_sha256":"70a93c3b60bcfec0e09d1032e834aebdb71320403322ac60d3913bf979cf1122","abstract_canon_sha256":"26cd0c7a84f088b7c1454fea5476c2183b79aa65be7c4e0735f9e1b6f9985a32"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:41:19.276568Z","signature_b64":"TIvyI2yHyZ/qt0gPT8uubmkEbnxXx8+RoxWAwa/JzwvkPmCcqyb5i84hquzzKio0hk1oHt76LkIa0XJaBQ6yCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61567f7d042bf5e9d905d0d8280dbcf449f5d4477402b85b00f75c1ee38ab558","last_reissued_at":"2026-07-04T14:41:19.276183Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:41:19.276183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Double quantization on coadjoint representations of simple Lie groups and its orbits","license":"","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"J. 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