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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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1404.0443","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-04-02T03:34:26Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"8816a39b1fb84037603443e4606c512cb4980617f8d23d170140371b5e962326","abstract_canon_sha256":"06ee891f67000974ed1030d0e1b622dd118c1541db9a33bbd4c5a021ead05a58"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:17.787130Z","signature_b64":"lQVVcRtv5Eoe7D4v9m3OoArk+t4Ws268NEXIEvO6NSTDaQUH4d3w52GDuZAhkpDj1MdrmYj0I6L+UsAzVTMzBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f8391caad290204d4a62a1593de98eab8f223aaf4d41b7bb9bda2e5d07cc26f","last_reissued_at":"2026-05-18T01:20:17.786282Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:17.786282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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 ${\\mathsf {BC}}_{r,s}(q)$. 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