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That is, the path algebras defined on the quivers of 0-Schur algebras with relations modified from the defining relations of 0-Schur algebras by a tuple of parameters $\\ut$. In particular, when all the entries of $\\ut$ are 1, we have 0-Schur algerbas. When all the entries of $\\ut$ are zero, we obtain a class of degenerate 0-Schur algebras. We prove that"},"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":"1705.06084","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-05-17T10:52:51Z","cross_cats_sorted":["math.QA","math.RT"],"title_canon_sha256":"fa31f3a34192f878700eb93a7fb1906f248c7f3048c0f946fbe15d320159b802","abstract_canon_sha256":"35250f7a106ce2ca2b6f843a81e9c072827028840622455e6e5735daafdc42db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:15.142037Z","signature_b64":"goZYqke7vBnptbD/N786zX9uNNZ0Cu3Az7c+V4kY7R9VrE+XC2pW0GeWrIpsa/XKetvIrpVvkBlAu98AOqVtDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7ff5aa3ccd2b524da1fdf72d58781a90dd7ebd4eacb8d737ff4933d4561157b","last_reissued_at":"2026-05-18T00:44:15.141476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:15.141476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Degenerate 0-Schur algebras and Nil-Temperley-Lieb algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA","math.RT"],"primary_cat":"math.RA","authors_text":"Bernt Tore Jensen, Guiyu yang, Xiuping Su","submitted_at":"2017-05-17T10:52:51Z","abstract_excerpt":"In \\cite{JS} Jensen and Su constructed 0-Schur algebras on double flag varieties. The construction leads to a presentation of 0-Schur algebras using quivers with relations and the quiver approach naturally gives rise to a new class of algebras. That is, the path algebras defined on the quivers of 0-Schur algebras with relations modified from the defining relations of 0-Schur algebras by a tuple of parameters $\\ut$. In particular, when all the entries of $\\ut$ are 1, we have 0-Schur algerbas. When all the entries of $\\ut$ are zero, we obtain a class of degenerate 0-Schur algebras. 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