测度的新公理2

IF 0.5 4区数学 Q3 MATHEMATICS Advances in Geometry Pub Date : 2021-01-14 DOI:10.1515/advgeom-2022-0013

Auguste Hébert

{"title":"测度的新公理2","authors":"Auguste Hébert","doi":"10.1515/advgeom-2022-0013","DOIUrl":null,"url":null,"abstract":"Abstract Masures are generalizations of Bruhat–Tits buildings. They were introduced by Gaussent and Rousseau in order to study Kac–Moody groups over valued fields. We prove that the intersection of two apartments of a masure is convex. Using this, we simplify the axiomatic definition of masures given by Rousseau.","PeriodicalId":7335,"journal":{"name":"Advances in Geometry","volume":"22 1","pages":"513 - 522"},"PeriodicalIF":0.5000,"publicationDate":"2021-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A new axiomatics for masures II\",\"authors\":\"Auguste Hébert\",\"doi\":\"10.1515/advgeom-2022-0013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Masures are generalizations of Bruhat–Tits buildings. They were introduced by Gaussent and Rousseau in order to study Kac–Moody groups over valued fields. We prove that the intersection of two apartments of a masure is convex. Using this, we simplify the axiomatic definition of masures given by Rousseau.\",\"PeriodicalId\":7335,\"journal\":{\"name\":\"Advances in Geometry\",\"volume\":\"22 1\",\"pages\":\"513 - 522\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-01-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Geometry\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/advgeom-2022-0013\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Geometry","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/advgeom-2022-0013","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

抽象假面像是对Bruhat-Tits建筑的概括。它们是由Gaussent和Rousseau引入的，目的是研究Kac–Moody集团的高估域。我们证明了掩模的两个单元的交集是凸的。利用这一点，我们简化了卢梭对假面的公理化定义。

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 new axiomatics for masures II

Abstract Masures are generalizations of Bruhat–Tits buildings. They were introduced by Gaussent and Rousseau in order to study Kac–Moody groups over valued fields. We prove that the intersection of two apartments of a masure is convex. Using this, we simplify the axiomatic definition of masures given by Rousseau.

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

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.

期刊最新文献

Lower bound on the translative covering density of octahedra Some observations on conformal symmetries of G 2-structures Poisson Structures on moduli spaces of Higgs bundles over stacky curves Fractional-linear integrals of geodesic flows on surfaces and Nakai’s geodesic 4-webs Inequalities for f *-vectors of lattice polytopes