{"paper":{"title":"Whittaker Category and Finite W-superalgebras for Cartan Type Lie Superalgebras","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Bin Shu, Priyanshu Chakraborty, Yuhui Shen","submitted_at":"2026-06-05T05:23:21Z","abstract_excerpt":"Let $W(n)$ be the finite-dimensional simple Lie superalgebra of fundamental type in the Cartan type series of Kac's classification result \\cite{Kac77} over an algebraically closed field of characteristic $0$. Let $\\mathbf{g}$ be the graded-zero part of $W(n)$ which is isomorphic to $\\mathfrak{gl}(n)$. In the first part of this paper, following the basic idea of taking the ``minimal\" parabolic subalgebra $\\mathsf{P}$ as a working platform in \\cite{DSY} we introduce the Whittaker category $\\mscrw$ for representations of $W(n)$ associated with a nilpotent element $e$ in $\\mathbf{g}_0$ and with $W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06913","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/2606.06913/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"}