{"paper":{"title":"The Fr\\\"olicher-Nijenhuis bracket in non-commutative differential geometry","license":"","headline":"","cross_cats":["math.FA"],"primary_cat":"math.QA","authors_text":"Andreas Cap, Andreas Kriegl, Ji\\v{r}i Van\\v{z}ura, Peter W. Michor","submitted_at":"1992-07-01T00:00:00Z","abstract_excerpt":"We carry over to a quite general noncommutative setting some of the basic tools of differential geometry, using from the very beginning the setting of convenient vector spaces developed by Froelicher and Kriegl, which allows to carry all of multilinear algebra into this kind of functional analysis with suitably completed tensor products. In the first section we give a short description of the setting of convenient spaces elaborating those aspects which are needed later. Then we repeat the usual construction of noncommutative differential forms for convenient algebras. Next they show that the b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9207209","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}