{"paper":{"title":"Almost dominant generalized slices and convolution diagrams over them","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Ivan Perunov, Vasily Krylov","submitted_at":"2019-03-19T22:32:26Z","abstract_excerpt":"Let $G$ be a connected reductive complex algebraic group with a maximal torus $T$. We denote by $\\Lambda$ the cocharacter lattice of $(T,G)$. Let $\\Lambda^+ \\subset \\Lambda$ be the submonoid of dominant coweights. For $\\lambda \\in \\Lambda^+,\\,\\mu \\in \\Lambda,\\,\\mu \\leqslant \\lambda$, in arXiv:1604.03625, authors defined a generalized transversal slice $\\overline{\\mathcal{W}}^\\lambda_\\mu$. This is an algebraic variety of the dimension $\\langle 2\\rho^{\\vee}, \\lambda-\\mu \\rangle$, where $2\\rho^{\\vee}$ is the sum of positive roots of $G$. In this paper, we construct an isomorphism $\\overline{\\math"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.08277","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1903.08277/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}