{"paper":{"title":"Quantum group of type $A$ and representations of queer Lie superalgebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Chih-Whi Chen, Shun-Jen Cheng","submitted_at":"2016-02-13T10:25:21Z","abstract_excerpt":"We establish a maximal parabolic version of the Kazhdan-Lusztig conjecture \\cite[Conjecture 5.10]{CKW} for the BGG category $\\mathcal{O}_{k,\\zeta}$ of $\\mathfrak{q}(n)$-modules of \"$\\pm \\zeta$-weights\", where $k\\leq n$ and $\\zeta\\in\\mathbb{C} \\setminus \\frac{1}{2} \\mathbb{Z}$. As a consequence, the irreducible characters of these $\\mathfrak{q}(n)$-modules in this maximal parabolic category are given by the Kazhdan-Lusztig polynomials of type $A$ Lie algebras. As an application, closed character formulas for a class of $\\mathfrak{q}(n)$-modules resembling polynomial and Kostant modules of the g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04311","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"}