{"paper":{"title":"Noncommutative geometry of angular momentum space U(su(2))","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"hep-th","authors_text":"E. Batista, S. Majid","submitted_at":"2002-05-14T12:53:06Z","abstract_excerpt":"We study the standard angular momentum algebra $[x_i,x_j]=i\\lambda \\epsilon_{ijk}x_k$ as a noncommutative manifold $R^3_\\lambda$. We show that there is a natural 4D differential calculus and obtain its cohomology and Hodge * operator. We solve the spin 0 wave equation and some aspects of the Maxwell or electromagnetic theory including solutions for a uniform electric current density, and we find a natural Dirac operator. We embed $R^3_\\lambda$ inside a 4D noncommutative spacetime which is the limit $q\\to 1$ of q-Minkowski space and show that $R^3_\\lambda$ has a natural quantum isometry group g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0205128","kind":"arxiv","version":2},"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"}