{"paper":{"title":"Deformation of Weyl Modules and Generalized Parking Functions","license":"","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"B. Feigin, S. Loktev","submitted_at":"2003-12-08T13:30:14Z","abstract_excerpt":"Local Weyl modules over two-dimensional currents with values in $gl_r$ are deformed into spaces with bases related to parking functions. Using this construction we\n  1) propose a simple proof that dimension of the space of diagonal coinvariants is not less than the number of parking functions;\n  2) describe the limits of Weyl modules in terms of semi-infinite forms and find the limits of characters;\n  3) propose a lower bound and state a conjecture for dimensions of Weyl modules with arbitrary highest weights.\n  Also we express characters of deformed Weyl modules in terms of $\\rho$-parking fun"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0312158","kind":"arxiv","version":3},"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"}