{"paper":{"title":"Quantum walled Brauer-Clifford superalgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Georgia Benkart, Ji Hye Jung, Nicolas Guay, Seok-Jin Kang, Stewart Wilcox","submitted_at":"2014-04-02T03:34:26Z","abstract_excerpt":"We introduce a new family of superalgebras, the quantum walled Brauer-Clifford superalgebras ${\\mathsf {BC}}_{r,s}(q)$. The superalgebra ${\\mathsf {BC}}_{r,s}(q)$ is a quantum deformation of the walled Brauer-Clifford superalgebra ${\\mathsf {BC}}_{r,s}$ and a super version of the quantum walled Brauer algebra. We prove that ${\\mathsf {BC}}_{r,s}(q)$ is the centralizer superalgebra of the action of ${\\mathfrak U}_{q}({\\mathfrak q}(n))$ on the mixed tensor space $\\mathbf{V}_{q}^{r,s}=\\mathbf{V}_{q}^{\\otimes r} \\otimes (\\mathbf{V}_q^*)^{\\otimes s}$ when $n \\ge r+s$, where ${\\mathbf V}_{q}=\\mathbb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0443","kind":"arxiv","version":2},"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"}