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In this paper we define the Lie algebra $\\Der(\\bbcq) \\ltimes \\bbcq$ and classify its modules which are irreducible and have finite dimensional weight spaces. These modules under certain conditions turn out to be of the form $V \\otimes \\bbcq$, where $V$ is a finite dimensional irreducible $gl_d$-module."},"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":"1309.7544","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-09-29T07:01:10Z","cross_cats_sorted":[],"title_canon_sha256":"4378d09346e06619dc9d4a7086667e2a3eb4f4625a91c6121c0304a79916d94c","abstract_canon_sha256":"01478fdd5ff383fd1687a09fa7361c528c76a6f6463db119cc8680791402e05c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:32.005247Z","signature_b64":"JxBl696/14uST5i91b6NrArylNvT6OZn3hdjh7iPDcJXj63F6OcJXHsNaVqbvV21pQD9zbxrlwNrk/Igw4vkAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f0545c7b0981a6056d61fa7fa84c188609e72230c58f1eec895186d75958ba2","last_reissued_at":"2026-05-18T02:28:32.004569Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:32.004569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The irreducible modules for the derivations of the rational quantum torus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Punita Batra, Sachin S. 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