{"title":"霍普夫群煤层的基本定理","authors":"Daowei Lu, Dingguo Wang","doi":"arxiv-2409.04687","DOIUrl":null,"url":null,"abstract":"Let $H$ be a Hopf group coalgebra with a bijective antipode and $A$ an\n$H$-comodule Poisson algebra. In this paper, we mainly generalize the\nfundamental theorem of Poisson Hopf modules to the case of Hopf group\ncoalgebras.","PeriodicalId":501136,"journal":{"name":"arXiv - MATH - Rings and Algebras","volume":"4 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Possion Hopf module Fundamental theorem for Hopf group coalgebras\",\"authors\":\"Daowei Lu, Dingguo Wang\",\"doi\":\"arxiv-2409.04687\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let $H$ be a Hopf group coalgebra with a bijective antipode and $A$ an\\n$H$-comodule Poisson algebra. In this paper, we mainly generalize the\\nfundamental theorem of Poisson Hopf modules to the case of Hopf group\\ncoalgebras.\",\"PeriodicalId\":501136,\"journal\":{\"name\":\"arXiv - MATH - Rings and Algebras\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Rings and Algebras\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.04687\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Rings and Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.04687","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Possion Hopf module Fundamental theorem for Hopf group coalgebras
Let $H$ be a Hopf group coalgebra with a bijective antipode and $A$ an
$H$-comodule Poisson algebra. In this paper, we mainly generalize the
fundamental theorem of Poisson Hopf modules to the case of Hopf group
coalgebras.
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