{"paper":{"title":"Stratified Langlands duality in the $A_n$ tower","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.KT","authors_text":"Graham A. Niblo, Nick Wright, Roger Plymen","submitted_at":"2016-11-16T10:54:58Z","abstract_excerpt":"Let $\\mathbf{S}_k$ denote a maximal torus in the complex Lie group $\\mathbf{G} = \\mathrm{SL}_n(\\mathbb{C})/C_k$ and let $T_k$ denote a maximal torus in its compact real form $\\mathrm{SU}_n(\\mathbb{C})/C_k$, where $k$ divides $n$. Let $W$ denote the Weyl group of $\\mathbf{G}$, namely the symmetric group $\\mathfrak{S}_n$. We elucidate the structure of the extended quotient $\\mathbf{S}_k // W$ as an algebraic variety and of $T_k // W$ as a topological space, in both cases describing them as bundles over unions of tori. Corresponding to the invariance of $K$-theory under Langlands duality, this ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05218","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"}