{"title":"轨距群作用的轨道","authors":"V.K. Beloshapka","doi":"10.1134/S1061920825020037","DOIUrl":null,"url":null,"abstract":"<p> Differential-algebraic descriptions of the orbits of the action of the gauge group for some differential-algebraic sets and functions are constructed. In all cases considered here, it is shown that the orbit is a differential-algebraic set. Applications of the constructed criteria are given. </p><p> <b> DOI</b> 10.1134/S1061920825020037 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"32 2","pages":"239 - 244"},"PeriodicalIF":1.5000,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Orbits of the Action of the Gauge Group\",\"authors\":\"V.K. Beloshapka\",\"doi\":\"10.1134/S1061920825020037\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p> Differential-algebraic descriptions of the orbits of the action of the gauge group for some differential-algebraic sets and functions are constructed. In all cases considered here, it is shown that the orbit is a differential-algebraic set. Applications of the constructed criteria are given. </p><p> <b> DOI</b> 10.1134/S1061920825020037 </p>\",\"PeriodicalId\":763,\"journal\":{\"name\":\"Russian Journal of Mathematical Physics\",\"volume\":\"32 2\",\"pages\":\"239 - 244\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2025-07-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Russian Journal of Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1061920825020037\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Journal of Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1061920825020037","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
Differential-algebraic descriptions of the orbits of the action of the gauge group for some differential-algebraic sets and functions are constructed. In all cases considered here, it is shown that the orbit is a differential-algebraic set. Applications of the constructed criteria are given.
期刊介绍:
Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.