{"paper":{"title":"Dynamical Gelfand-Zetlin algebra and equivariant cohomology of Grassmannians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.AG","authors_text":"A. Varchenko, R. Rimanyi","submitted_at":"2015-10-13T11:16:49Z","abstract_excerpt":"We consider the rational dynamical quantum group $E_y(gl_2)$ and introduce an $E_y(gl_2)$-module structure on $\\oplus_{k=0}^n H^*_{GL_n\\times\\C^\\times}(T^*Gr(k,n))'$, where $H^*_{GL_n\\times\\C^\\times}(T^*Gr(k,n))'$ is the equivariant cohomology algebra $H^*_{GL_n\\times\\C^\\times}(T^*Gr(k,n))$ of the cotangent bundle of the Grassmannian $\\Gr(k,n)$ with coefficients extended by a suitable ring of rational functions in an additional variable $\\lambda$. We consider the dynamical Gelfand-Zetlin algebra which is a commutative algebra of difference operators in $\\lambda$. We show that the action of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03625","kind":"arxiv","version":4},"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"}