{"paper":{"title":"Quantum Stiefel manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Bipul Saurabh","submitted_at":"2016-02-16T11:23:11Z","abstract_excerpt":"Quantum analogs of Stiefel manifolds $SU_{q}(n)/SU_q(n-m)$ were introduced by Podkolzin \\& Vainerman. The underlying $C^*$-algebra $C(SU_{q}(n)/SU_q(n-m))$ can be described as the $C^*$-subalgebra of $C(SU_q(n))$ generated by elements of last $m$ rows of the fundamental matrix of $SU_q(n)$. Using $R$-matrix of type $A_{n-1}$, one can find certain relations involving elements of last $m$ rows only. In this paper, by analyzing these relations and using a result of Neshveyev \\& Tuset, we establish $C(SU_{q}(n)/SU_q(n-m))$ as a universal $C^*$-algbera given by finite sets of generators and relatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04989","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"}