{"title":"代数$$sl_3(\\mathbb{R})$$的锐传递表示","authors":"M. V. Neshchadim, A. A. Simonov","doi":"10.1134/s1055134423040077","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We consider local sharply transitive representations of the algebra <span>\\(sl_3(\\mathbb {R}) \\)</span> in the space of local vector fields with analytic\ncoefficients in <span>\\( \\mathbb {R}^{8}\\)</span> that are defined in\na neighborhood of the origin. We find a system of differential equations that describes such\nrepresentations.\n</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"55 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sharply Transitive Representations of the Algebra $$sl_3(\\\\mathbb{R})$$\",\"authors\":\"M. V. Neshchadim, A. A. Simonov\",\"doi\":\"10.1134/s1055134423040077\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p> We consider local sharply transitive representations of the algebra <span>\\\\(sl_3(\\\\mathbb {R}) \\\\)</span> in the space of local vector fields with analytic\\ncoefficients in <span>\\\\( \\\\mathbb {R}^{8}\\\\)</span> that are defined in\\na neighborhood of the origin. We find a system of differential equations that describes such\\nrepresentations.\\n</p>\",\"PeriodicalId\":39997,\"journal\":{\"name\":\"Siberian Advances in Mathematics\",\"volume\":\"55 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Siberian Advances in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1134/s1055134423040077\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Advances in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1055134423040077","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Sharply Transitive Representations of the Algebra $$sl_3(\mathbb{R})$$
Abstract
We consider local sharply transitive representations of the algebra \(sl_3(\mathbb {R}) \) in the space of local vector fields with analytic
coefficients in \( \mathbb {R}^{8}\) that are defined in
a neighborhood of the origin. We find a system of differential equations that describes such
representations.
期刊介绍：
Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.
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