{"paper":{"title":"On the composition structure of the twisted Verma modules for $\\mathfrak{sl}(3,\\mathbb{C})$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.FA"],"primary_cat":"math.RT","authors_text":"Libor Krizka, Petr Somberg","submitted_at":"2015-09-02T11:27:30Z","abstract_excerpt":"We discuss some aspects of the composition structure of twisted Verma modules for the Lie algebra $\\mathfrak{sl}(3, \\mathbb{C})$, including the explicit structure of singular vectors for both $\\mathfrak{sl}(3, \\mathbb{C})$ and one of its Lie subalgebras $\\mathfrak{sl}(2, \\mathbb{C})$, and also of their generators. Our analysis is based on the use of partial Fourier tranform applied to the realization of twisted Verma modules as $\\mathrm{{D}}$-modules on the Schubert cells in the full flag manifold for $\\mathrm{SL}(3, \\mathbb{C})$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00646","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"}