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A theorem of Rais and Tauvel and Geoffriau identifies the centre of the category of $\\fg_n$-modules with the algebra of functions on the variety of $n$-jets on the affine space $\\fh^*/W$. On the other hand, a theorem of Feigin and Frenkel identifies the centre of the category of critical level smooth modules of the corresponding affine Kac-Moody algebra with the algebra of functions on the ind-scheme of opers for the Langlands "},"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":"1308.2995","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-08-13T23:48:47Z","cross_cats_sorted":["math.AG","math.QA"],"title_canon_sha256":"3544686860ebd81b8dee4b53919dd55f822d160ce5cd79a45658a791ecc2419e","abstract_canon_sha256":"b14b3273406a0a7a63623471e1965be8058264d796ba2f3008f2694114f694e5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:56.994726Z","signature_b64":"7DPN2lCMLotSoflU1SwVFs/4FdX24fbtuNgAvvEDQVLkiDIKf07WOXKxNUXrpG8bOv6zevJtuIhLxAK2XUn8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"601efba093693d4d599de1e071d0a8578ff7879f93a1c33c21c049f90dd2e561","last_reissued_at":"2026-05-18T03:15:56.994117Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:56.994117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Compatibility of the Feigin-Frenkel Isomorphism and the Harish-Chandra Isomorphism for jet algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.QA"],"primary_cat":"math.RT","authors_text":"Masoud Kamgarpour","submitted_at":"2013-08-13T23:48:47Z","abstract_excerpt":"Let $\\fg$ be a simple finite-dimensional complex Lie algebra with a Cartan subalgebra $\\fh$ and Weyl group $W$. 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