{"paper":{"title":"Branching rules for finite-dimensional $\\mathcal{U}_q(\\mathfrak{su}(3))$-representations with respect to a right coideal subalgebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Erik Koelink, Noud Aldenhoven, Pablo Rom\\'an","submitted_at":"2016-01-25T16:23:49Z","abstract_excerpt":"We consider the quantum symmetric pair $(\\mathcal{U}_q(\\mathfrak{su}(3)), \\mathcal{B})$ where $\\mathcal{B}$ is a right coideal subalgebra. We prove that all finite-dimensional irreducible representations of $\\mathcal{B}$ are weight representations and are characterised by their highest weight and dimension.\n  We show that the restriction of a finite-dimensional irreducible representation of $\\mathcal{U}_q(\\mathfrak{su}(3))$ to $\\mathcal{B}$ decomposes multiplicity free into irreducible representations of $\\mathcal{B}$. Furthermore we give explicit expressions for the highest weight vectors in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06658","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"}