{"paper":{"title":"Metaplectic Iwahori Whittaker functions and supersymmetric lattice models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT","math.QA"],"primary_cat":"math.RT","authors_text":"Ben Brubaker, Daniel Bump, Henrik P. A. Gustafsson, Valentin Buciumas","submitted_at":"2020-12-31T17:57:40Z","abstract_excerpt":"In this paper we compute new values of Iwahori Whittaker functions on $n$-fold metaplectic covers $\\widetilde{G}$ of $\\mathbf{G}(F)$ with $\\mathbf{G}$ a split reductive group over a non-archimedean local field $F$. For every Iwahori Whittaker function $\\phi$, and for every $g\\in\\widetilde{G}$, we evaluate $\\phi(g)$ by recurrence relations over the Weyl group using novel \"vector Demazure-Whittaker operators.\" The general formula and strategy of proof are inspired by ideas appearing in the theory of integrable systems. Specializing to the case of $\\mathbf{G} = \\mathbf{GL}_r$, we construct a solv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.15778","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2012.15778/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}