{"title":"井束上多向量场的等价定义","authors":"N.V. Borhen, M.M. Norbert, M. Ange","doi":"10.37418/amsj.11.10.1","DOIUrl":null,"url":null,"abstract":"In this paper, we generalize the notion of vector fields on Weil bundle. Let $q\\geq 2$ be an integer, we give equivalent definitions of a $q$-vector field on Weil bundle in terms of $q$-derivations. Further, we construct a Lie graded algebra structure of multivector fields on Weil bundle.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"202 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"EQUIVALENT DEFINITIONS OF MULTIVECTOR FIELDS ON WEIL BUNDLE\",\"authors\":\"N.V. Borhen, M.M. Norbert, M. Ange\",\"doi\":\"10.37418/amsj.11.10.1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we generalize the notion of vector fields on Weil bundle. Let $q\\\\geq 2$ be an integer, we give equivalent definitions of a $q$-vector field on Weil bundle in terms of $q$-derivations. Further, we construct a Lie graded algebra structure of multivector fields on Weil bundle.\",\"PeriodicalId\":231117,\"journal\":{\"name\":\"Advances in Mathematics: Scientific Journal\",\"volume\":\"202 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Mathematics: Scientific Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37418/amsj.11.10.1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematics: Scientific Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37418/amsj.11.10.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
EQUIVALENT DEFINITIONS OF MULTIVECTOR FIELDS ON WEIL BUNDLE
In this paper, we generalize the notion of vector fields on Weil bundle. Let $q\geq 2$ be an integer, we give equivalent definitions of a $q$-vector field on Weil bundle in terms of $q$-derivations. Further, we construct a Lie graded algebra structure of multivector fields on Weil bundle.
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