{"paper":{"title":"Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"A. Varchenko, P. Zinn-Justin, R. Rim\\'anyi, V. Tarasov","submitted_at":"2011-10-10T20:03:12Z","abstract_excerpt":"We consider the tensor power $V=(C^N)^{\\otimes n}$ of the vector representation of $gl_N$ and its weight decomposition $V=\\oplus_{\\lambda=(\\lambda_1,...,\\lambda_N)}V[\\lambda]$. For $\\lambda = (\\lambda_1 \\geq ... \\geq \\lambda_N)$, the trivial bundle $V[\\lambda]\\times \\C^n\\to\\C^n$ has a subbundle of q-conformal blocks at level l, where $l = \\lambda_1-\\lambda_N$ if $\\lambda_1-\\lambda_N> 0$ and l=1 if $\\lambda_1-\\lambda_N=0$. We construct a polynomial section $I_\\lambda(z_1,...,z_n,h)$ of the subbundle. The section is the main object of the paper. We identify the section with the generating functi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2187","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"}