{"paper":{"title":"Structure of the Unramified L-packet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Manish Mishra","submitted_at":"2012-12-06T20:25:32Z","abstract_excerpt":"Let $\\boldsymbol{G}$ be an unramified connected reductive group defined over a non-archemedian local field $k$ and let $\\boldsymbol{T}$ be a maximal torus in $\\boldsymbol{G}.$ Let $\\lambda$ be an unramified character of $\\boldsymbol{T}.$ Then the conjugacy classes of hyperspecial subgroups of $\\boldsymbol{G}(k)$ is a principal homogenous space for a certain finite abelian group $\\hat{\\Omega}$. Also, the $L$-packet $\\Pi(\\varphi_{\\lambda})$ associated to $\\lambda$ is parametrized by an abelian group $\\hat{R}$. We show that $\\hat{R}$ is naturally a homogenous space for $\\hat{\\Omega}$. Further, le"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1439","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"}