{"paper":{"title":"Tensor product structure of affine Demazure modules and limit constructions","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Ghislain Fourier, Peter Littelmann","submitted_at":"2004-12-21T13:31:30Z","abstract_excerpt":"Let $\\Lg$ be a simple complex Lie algebra, we denote by $\\Lhg$ the corresponding affine Kac--Moody algebra. Let $\\Lambda_0$ be the additional fundamental weight of $\\Lhg$. For a dominant integral $\\Lg$--coweight $\\lam^\\vee$, the Demazure submodule $V_{-\\lam^\\vee}(m\\Lam_0)$ is a $\\Lg$--module. For any partition of $\\lam^\\vee=\\sum_j \\lam_j^\\vee$ as a sum of dominant integral $\\Lg$--coweights, the Demazure module is (as $\\Lg$--module) isomorphic to $\\bigotimes_j V_{-\\lam^\\vee_j}(m\\Lam_0)$. For the ``smallest'' case, $\\lam^\\vee=\\om^\\vee$ a fundamental coweight, we provide for $\\Lg$ of classical ty"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0412432","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"}