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Note that if $G = {\\rm PSL}(2,\\mathbb{C})$, then $\\overline{T} = {\\mathbb C}{\\mathbb P}^1$ and so in this case "},"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":"1702.08364","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-02-27T16:42:53Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"33f59555167625472f74b4c60c3a62c2c3e925b5a07d04f0725f56809f6a9488","abstract_canon_sha256":"b1146dc92da4d131b93d0fd9d11bf60349c722ce61ceb98ecf4b8d15af4a8861"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:55.114282Z","signature_b64":"FpPMsvB02vWUHu9TSqR7ZMFgeGbZ2ajfwOL/cO+yNUsbOlNi8eP/sCyyOaQHNA7kFS3YBmLfM+pmie7MYG8+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed66fc46dbe19aec2e966872b634f3e8ceee2d73f24a9ab38a211c5f6d5cad79","last_reissued_at":"2026-05-18T00:49:55.113643Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:55.113643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The full automorphism group of $\\overline{T}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"Donihakalu Shankar Nagaraj, Indranil Biswas, Subramaniam Senthamarai Kannan","submitted_at":"2017-02-27T16:42:53Z","abstract_excerpt":"Let $\\overline G$ be the wonderful compactification of a simple affine algebraic group $G$ of adjoint type defined over $\\mathbb C.$ Let ${\\overline T}\\subset \\overline G$ be the closure of a maximal torus $T\\subset G.$ We prove that the group of all automorphisms of the variety $\\overline T$ is the semi-direct product $N_G(T)\\rtimes D,$ where $N_G(T)$ is the normalizer of $T$ in $G$ and $D$ is the group of all automorphisms of the Dynkin diagram, if $G\\not= {\\rm PSL}(2,\\mathbb{C})$. 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