{"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 $G\\not= {\\rm PSL}(2,\\mathbb{C})$. Note that if $G = {\\rm PSL}(2,\\mathbb{C})$, then $\\overline{T} = {\\mathbb C}{\\mathbb P}^1$ and so in this case "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08364","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}