{"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}
引用次数: 0
Abstract
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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