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Let D(U) denote the derived subgroup of U and let e be the central primitive idempotent of the group algebra RD(U) corresponding to the projection on the invariant RD(U)-submodule. The aim of this note is to prove that the R-algebras RG and eRGe are Morita equivalent (through the natural functor sending an RG-module M to the eRGe-module eM)."},"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":"1103.4031","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-03-21T14:27:25Z","cross_cats_sorted":[],"title_canon_sha256":"3c7334774b16cef1077d67c5e2088cdddc207000c8c7e2560fbd96f7df026dcf","abstract_canon_sha256":"11ae56f39f9d33da0d5b54f2d5cdf84dee2fab860ab517be1be50154af4024f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:21.937446Z","signature_b64":"/Ukc5oGJn6L3gW+x2JGyva2cj5psdEqIMSdCBCtLxGW8eAkzhMjXwj3QXgOp8rc3SjJO5s365M3No54IClAJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d9cb70357051d3b7af5d57f659eea7e9f9307642b3c9bd9c43ba6bbf9551687","last_reissued_at":"2026-05-18T04:26:21.936966Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:21.936966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A progenerator for representations of SL(n,q) in transverse characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"C\\'edric Bonnaf\\'e (I3M)","submitted_at":"2011-03-21T14:27:25Z","abstract_excerpt":"Let G=GL(n,q), SL(n,q) or PGL(n,q) where q is a power of some prime number p, let U denote a Sylow p-subgroup of G and let R be a commutative ring in which p is invertible. Let D(U) denote the derived subgroup of U and let e be the central primitive idempotent of the group algebra RD(U) corresponding to the projection on the invariant RD(U)-submodule. 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