{"paper":{"title":"K-projectors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Alexander Odesskii","submitted_at":"2017-07-28T19:30:21Z","abstract_excerpt":"We study representations of a free associative algebra $T^*(W\\otimes W^*)$ in a vector space $V$ with the property $V\\otimes V\\cong V\\oplus V_0$ where $T^*(W\\otimes W^*)$ acts by zero on $V_0$ and the tensor product $V\\otimes V$ of representations corresponds to the natural homomorphism $W\\otimes W^*\\to W\\otimes W^* \\otimes W\\otimes W^*$. We develop an algebraic theory of such objects and construct a lot of examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09384","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"}