{"title":"舒尔 Q$ 函数的 Plethysm 稳定性","authors":"John Graf, Naihuan Jing","doi":"arxiv-2409.01479","DOIUrl":null,"url":null,"abstract":"Schur functions have been shown to satisfy certain stability properties and\nrecurrence relations. In this paper, we prove analogs of these properties with\nSchur's $Q$-functions using vertex operator methods.","PeriodicalId":501317,"journal":{"name":"arXiv - MATH - Quantum Algebra","volume":"74 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Plethysm Stability of Schur's $Q$-functions\",\"authors\":\"John Graf, Naihuan Jing\",\"doi\":\"arxiv-2409.01479\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Schur functions have been shown to satisfy certain stability properties and\\nrecurrence relations. In this paper, we prove analogs of these properties with\\nSchur's $Q$-functions using vertex operator methods.\",\"PeriodicalId\":501317,\"journal\":{\"name\":\"arXiv - MATH - Quantum Algebra\",\"volume\":\"74 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Quantum Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.01479\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Quantum Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.01479","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Schur functions have been shown to satisfy certain stability properties and
recurrence relations. In this paper, we prove analogs of these properties with
Schur's $Q$-functions using vertex operator methods.
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