{"paper":{"title":"Tensor Triangular Geometry for Quantum Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Brian D. Boe, Daniel K. Nakano, Jonathan R. Kujawa","submitted_at":"2017-02-04T14:09:13Z","abstract_excerpt":"Let $\\mathfrak g$ be a complex simple Lie algebra and let $U_{\\zeta}({\\mathfrak g})$ be the corresponding Lusztig ${\\mathbb Z}[q,q^{-1}]$-form of the quantized enveloping algebra specialized to an $\\ell$th root of unity. Moreover, let $\\mod(U_{\\zeta}({\\mathfrak g}))$ be the braided monoidal category of finite-dimensional modules for $U_{\\zeta}({\\mathfrak g})$. In this paper we classify the thick tensor ideals of $\\mod(U_{\\zeta}({\\mathfrak g}))$ and compute the prime spectrum of the stable module category associated to $\\text{mod}(U_{\\zeta}({\\mathfrak g}))$ as defined by Balmer."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01289","kind":"arxiv","version":3},"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"}