{"paper":{"title":"Schubert Class and cyclotomic nilHecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Jun Hu, Kai Zhou","submitted_at":"2018-04-04T15:24:18Z","abstract_excerpt":"Let $\\ell, n$ be positive integers such that $\\ell\\geq n$. Let $\\mathbb{G}_{n,\\ell}$ be the Grassmannian which consists of the set of $n$-dimensional subspaces of $\\mathbb{C}^{\\ell}$. There is a $\\mathbb{Z}$-graded algebra isomorphism between the cohomology $H^*(\\mathbb{G}_{n,\\ell},\\mathbb{Z})$ of $\\mathbb{G}_{n,\\ell}$ and a natural $\\mathbb{Z}$-form $B$ of the $\\mathbb{Z}$-graded basic algebra of the type $A$ cyclotomic nilHecke algebra $H_{\\ell,n}^{(0)}=\\langle\\psi_1,\\cdots,\\psi_{n-1},y_1,\\cdots,y_n\\rangle$. In this paper, we show that the isomorphism can be chosen such that the image of eac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01467","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"}