关于阿贝尔亲李群的副积的简短说明

Monatshefte für Mathematik Pub Date : 2023-11-19 DOI:10.1007/s00605-023-01915-1

Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo

{"title":"关于阿贝尔亲李群的副积的简短说明","authors":"Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo","doi":"10.1007/s00605-023-01915-1","DOIUrl":null,"url":null,"abstract":"The notion of conditional coproduct of a family of abelian pro-Lie groups in the category of abelian pro-Lie groups is introduced. It is shown that the cartesian product of an arbitrary family of abelian pro-Lie groups can be characterized by the universal property of the conditional coproduct.","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":"9 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A short note on coproducts of Abelian pro-Lie groups\",\"authors\":\"Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo\",\"doi\":\"10.1007/s00605-023-01915-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The notion of conditional coproduct of a family of abelian pro-Lie groups in the category of abelian pro-Lie groups is introduced. It is shown that the cartesian product of an arbitrary family of abelian pro-Lie groups can be characterized by the universal property of the conditional coproduct.\",\"PeriodicalId\":18913,\"journal\":{\"name\":\"Monatshefte für Mathematik\",\"volume\":\"9 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-11-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Monatshefte für Mathematik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s00605-023-01915-1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Monatshefte für Mathematik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00605-023-01915-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

在阿贝尔亲李群的范畴中，引入了阿贝尔亲李群族的条件余积的概念。证明了任意一族阿贝尔亲李群的笛卡儿积可以用条件副积的全称性质来表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

A short note on coproducts of Abelian pro-Lie groups

The notion of conditional coproduct of a family of abelian pro-Lie groups in the category of abelian pro-Lie groups is introduced. It is shown that the cartesian product of an arbitrary family of abelian pro-Lie groups can be characterized by the universal property of the conditional coproduct.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Monatshefte für Mathematik

自引率

0.00%

发文量

期刊最新文献

On combinatorial properties of Gruenberg–Kegel graphs of finite groups Sparse bounds for oscillating multipliers on stratified groups Some sharp inequalities for norms in $$\mathbb {R}^n$$ and $$\mathbb {C}^n$$ Ill-posedness for the gCH-mCH equation in Besov spaces Stability of pseudo peakons for a new fifth order CH type equation with cubic nonlinearities