{"title":"Algebraic isomorphisms of quantized homogeneous spaces","authors":"Robert Yuncken","doi":"arxiv-2409.06139","DOIUrl":null,"url":null,"abstract":"We describe a proof of the following folklore theorem: If $\\cX = G/K$ is the\nhomogeneous space of a simply connected compact semisimple Lie group with\nPoisson-Lie stabilizers, then the $q$-deformed algebras of regular functions\n$\\CC[\\cX_q]$ with $0<q\\leq1$ are mutually non-isomorphic as $*$-algebras.","PeriodicalId":501317,"journal":{"name":"arXiv - MATH - Quantum Algebra","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","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-2409.06139","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We describe a proof of the following folklore theorem: If $\cX = G/K$ is the
homogeneous space of a simply connected compact semisimple Lie group with
Poisson-Lie stabilizers, then the $q$-deformed algebras of regular functions
$\CC[\cX_q]$ with $0
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
