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Applying the general scheme of affine Schur-Weyl duality, we construct an exact faithful KLR-type duality functor ${\\mathcal F}_{Q}"},"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":"1502.07415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-02-26T02:49:20Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"77544bbcaefa5c6154068f06f50d5e99453402f03012fdc64e89dbf5bb438157","abstract_canon_sha256":"79d947aa440741f59c6a65fa01bb17efdedf7d808a685d0c362330767066fa1f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:09.843926Z","signature_b64":"TO/olp3W9ijcjLBj/GymzHX0ml/8eMOjCVx8GyEKDPu/UQ0eHmmmvi5Tg5fzA7EQRCp+YnKDb0xISl0MvgQ2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86fc427bf0d0cdc683caad9f2221201a59cf476a7bdec27fe03b22f6c0727c6b","last_reissued_at":"2026-05-18T02:26:09.843191Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:09.843191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetric quiver Hecke algebras and R-matrices of Quantum affine algebras IV","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Masaki Kashiwara, MyungHo Kim, Se-Jin Oh, Seok-Jin Kang","submitted_at":"2015-02-26T02:49:20Z","abstract_excerpt":"Let $U'_q(\\mathfrak{g})$ be a twisted affine quantum group of type $A_{N}^{(2)}$ or $D_{N}^{(2)}$ and let $\\mathfrak{g}_{0}$ be the finite-dimensional simple Lie algebra of type $A_{N}$ or $D_{N}$. 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