{"title":"Fields of U-invariants of matrix tuples","authors":"A. Panov","doi":"10.13001/ela.2023.7355","DOIUrl":null,"url":null,"abstract":"The general linear group $\\mathrm{GL}(n)$ acts on the direct sum of $m$ copies of $\\mathrm{Mat}(n)$ by the adjoint action. The action of $\\mathrm{GL}(n)$ induces the action of the unitriangular subgroup $U$. We present the system of free generators of the field of $U$-invariants.","PeriodicalId":50540,"journal":{"name":"Electronic Journal of Linear Algebra","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Journal of Linear Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.13001/ela.2023.7355","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
The general linear group $\mathrm{GL}(n)$ acts on the direct sum of $m$ copies of $\mathrm{Mat}(n)$ by the adjoint action. The action of $\mathrm{GL}(n)$ induces the action of the unitriangular subgroup $U$. We present the system of free generators of the field of $U$-invariants.
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