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The Hochschild cohomology $HH^\\bullet(G/B)$ is a geometric invariant of the flag variety related to its generalized deformation theory and has the structure of a $\\mathfrak{g}$-module. We study this invariant via representation-theoretic methods; in particular, we give a complete list of irreducible subrepresentations in $HH^\\bullet(G/B)$ when $G=SL_n(\\mathbb{C})$ or is of exceptional type (and conjecturally for all types) along with nontrivial lower bo"},"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":"2404.10266","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-04-16T03:37:25Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"7f7ef3a599ddf0ed79f0176cca4aa9d24df013a21c1f8d75ac43d11c949547ef","abstract_canon_sha256":"815dcc6084415fb03837dbc5de446d77b948d56061b26c350ba4fbc7956d10fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:01:32.870503Z","signature_b64":"g5MCKVStCwGrUdcNjuPmMOJdg3d6q5brGCNWHVMFxjDySK81El0ecWvRj+3nWVYuyPh6Ih67XJ48XPMXpHIWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81bb51bc751385864c702cf941f34aa81af1555a47cfe029a414583b180f939d","last_reissued_at":"2026-07-05T10:01:32.870006Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:01:32.870006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Irreducible components in Hochschild cohomology of flag varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Sam Jeralds","submitted_at":"2024-04-16T03:37:25Z","abstract_excerpt":"Let $G$ be a simple, simply-connected complex algebraic group with Lie algebra $\\mathfrak{g}$, and $G/B$ the associated complete flag variety. 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