{"paper":{"title":"On a super-Virasoro group, a semigroup of annuli, and Gauss--Berezin integral operators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.FA","math.GR","math.MP"],"primary_cat":"math.RT","authors_text":"Yury A. Neretin","submitted_at":"2026-07-19T10:06:24Z","abstract_excerpt":"Denote by ${\\mathcal A}$ the Grassmann algebra with a countable number of generators, by ${\\mathcal A}_{\\overline 0}$, ${\\mathcal A}_{\\overline 1}$ its even and odd parts. We consider supergroups as groups over $\\mathcal A$.\n  Consider the Neveu--Schwarz Lie superalgebra $\\mathfrak{ns}= \\mathfrak{ns}_{\\overline 0}\\oplus \\mathfrak{ns}_{\\overline 1}$. Consider its Grassmannization $\\mathfrak{ns}(\\mathcal{A}):= (\\mathfrak{ns}_{\\overline 0}\\otimes {\\mathcal A}_{\\overline 0}) \\oplus (\\mathfrak{ns}_{\\overline 1}\\otimes {\\mathcal A}_{\\overline 1})$ and the corresponding supergroup $\\mathrm{NS}(\\mathc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.17168","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/2607.17168/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"}