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Let $\\alpha_{0}$ denote the highest root of $G$ with respect to $T$ and $B.$ Let $P$ be the stabiliser of $X(w)$ in $G.$ In this paper, we prove that if $G$ is simply laced and $X(w)$ is smooth, then the connected component of the automorphism group of $X(w)$ containing the identity automorphism equals $P$ if a"},"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":"1312.7066","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-26T08:24:12Z","cross_cats_sorted":[],"title_canon_sha256":"472b4978dfda3e4db425bf29929ee955e95aae903326f8049a3ee26e24832e83","abstract_canon_sha256":"3d334d460e153fa1f216d33473b2a4e3f8cf803b662ed52d494d7d35c5214e5f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:08.963855Z","signature_b64":"HDH7igtqlZorG85gZ5Wkyhu9cAE43O7ZpzcHm9CcjfnEn3Hqy0L1+KIGbbGWKdbZtIDzGhfhMlao0qL+QMlmCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee25462103360d742649738a763696a6e6ea63427607f28ff040704ad20eae88","last_reissued_at":"2026-05-18T01:24:08.963243Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:08.963243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the automorphism of a smooth Schubert variety","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"S. 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