{"paper":{"title":"Affine Super Yangian and Weyl groupoid","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Vasiliy Volkov, Vladimir Stukopin","submitted_at":"2023-06-26T11:16:38Z","abstract_excerpt":"We define affine Super Yangian $Y_{\\hbar}(\\hat{sl}(m|n), \\Pi) $ for affine special linear superalgebra $\\hat{sl}(m|n)$ and arbitrary system of simple roots $\\Pi$ in terms of minimalistic system of generators. We also consider Drinfeld presentation for affine super Yangian in the case of arbitrary simple root system $\\Pi$ and prove that these two presentations (Drinfeld and minimalistic) of $Y_{\\hbar}(\\hat{sl}(m|n), \\Pi)$ are isomorphic as associative superalgebras. We also construct isomorphism of affine super Yangians $Y_{\\hbar}(\\hat{sl}(m|n), \\Pi)$ and $Y_{\\hbar}(\\hat{sl}(m|n), \\Pi')$ for di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.14598","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2306.14598/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}