{"title":"二次空间外代数上的泊松代数结构","authors":"S. C. Gatsé, C. C. Likouka","doi":"10.37418/amsj.12.1.11","DOIUrl":null,"url":null,"abstract":"We construct a Poisson algebra structure of degree $-2$ over the exterior algebra of a quadratic space. Here we do not use Clifford algebra as in [4].","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"106 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A POISSON ALGEBRA STRUCTURE OVER THE EXTERIOR ALGEBRA OF A QUADRATIC SPACE\",\"authors\":\"S. C. Gatsé, C. C. Likouka\",\"doi\":\"10.37418/amsj.12.1.11\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct a Poisson algebra structure of degree $-2$ over the exterior algebra of a quadratic space. Here we do not use Clifford algebra as in [4].\",\"PeriodicalId\":231117,\"journal\":{\"name\":\"Advances in Mathematics: Scientific Journal\",\"volume\":\"106 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-21\",\"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.12.1.11\",\"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.12.1.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}