{"paper":{"title":"A uniform classification of discrete series representations of affine Hecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Dan Ciubotaru, Eric Opdam","submitted_at":"2015-10-25T17:35:30Z","abstract_excerpt":"We give a new and independent parameterization of the set of discrete series characters of an affine Hecke algebra $\\mathcal{H}_{\\mathbf{v}}$, in terms of a canonically defined basis $\\mathcal{B}_{gm}$ of a certain lattice of virtual elliptic characters of the underlying (extended) affine Weyl group. This classification applies to all semisimple affine Hecke algebras $\\mathcal{H}$, and to all $\\mathbf{v}\\in\\mathcal{Q}$, where $\\mathcal{Q}$ denotes the vector group of positive real (possibly unequal) Hecke parameters for $\\mathcal{H}$. By analytic Dirac induction we define for each $b\\in \\mathc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07274","kind":"arxiv","version":2},"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"}