{"paper":{"title":"Phase Space Reduction for Star-Products: An Explicit Construction for CP^n","license":"","headline":"","cross_cats":["dg-ga","hep-th","math.DG","math.QA"],"primary_cat":"q-alg","authors_text":"C. Emmrich, M. Bordemann, M. Brischle, S. Waldmann","submitted_at":"1995-03-09T21:46:21Z","abstract_excerpt":"We derive a closed formula for a star-product on complex projective space and on the domain $SU(n+1)/S(U(1)\\times U(n))$ using a completely elementary construction: Starting from the standard star-product of Wick type on $C^{n+1} \\setminus \\{ 0 \\}$ and performing a quantum analogue of Marsden-Weinstein reduction, we can give an easy algebraic description of this star-product. Moreover, going over to a modified star-product on $C^{n+1} \\setminus \\{ 0 \\}$, obtained by an equivalence transformation, this description can be even further simplified, allowing the explicit computation of a closed for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9503004","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"}