{"title":"关于多项式向量场李代数的广义导数","authors":"P. Randriambololondrantomalala, Sania Asif","doi":"10.46298/cm.10386","DOIUrl":null,"url":null,"abstract":"In this paper, we study the generalized derivation of a Lie sub-algebra of\nthe Lie algebra of polynomial vector fields on $\\mathbb{R}^n$ where $n\\geq1$,\ncontaining all constant vector fields and the Euler vector field, under some\nconditions on this Lie sub-algebra.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On generalized derivations of polynomial vector fields Lie algebras\",\"authors\":\"P. Randriambololondrantomalala, Sania Asif\",\"doi\":\"10.46298/cm.10386\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the generalized derivation of a Lie sub-algebra of\\nthe Lie algebra of polynomial vector fields on $\\\\mathbb{R}^n$ where $n\\\\geq1$,\\ncontaining all constant vector fields and the Euler vector field, under some\\nconditions on this Lie sub-algebra.\",\"PeriodicalId\":37836,\"journal\":{\"name\":\"Communications in Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-11-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/cm.10386\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/cm.10386","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
On generalized derivations of polynomial vector fields Lie algebras
In this paper, we study the generalized derivation of a Lie sub-algebra of
the Lie algebra of polynomial vector fields on $\mathbb{R}^n$ where $n\geq1$,
containing all constant vector fields and the Euler vector field, under some
conditions on this Lie sub-algebra.
期刊介绍：
Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.
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