格系施系的一种

IF 0.4 Q4 MATHEMATICS, APPLIED

Journal of Combinatorics Pub Date : 2021-07-13 DOI:10.4310/joc.2023.v14.n1.a1

Nathan Chapelier-Laget

{"title":"格系施系的一种","authors":"Nathan Chapelier-Laget","doi":"10.4310/joc.2023.v14.n1.a1","DOIUrl":null,"url":null,"abstract":"Let W be an irreducible Weyl group and W a its aﬃne Weyl group. In [4] the author deﬁned an aﬃne variety (cid:2) X W a , called the Shi variety of W a , whose integral points are in bijection with W a . The set of irreducible components of (cid:2) X W a , denoted H 0 ( (cid:2) X W a ), is of some interest and we show in this article that H 0 ( (cid:2) X W a ) has a structure of a semidistributive lattice.","PeriodicalId":44683,"journal":{"name":"Journal of Combinatorics","volume":"44 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Lattice associated to a Shi variety\",\"authors\":\"Nathan Chapelier-Laget\",\"doi\":\"10.4310/joc.2023.v14.n1.a1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let W be an irreducible Weyl group and W a its aﬃne Weyl group. In [4] the author deﬁned an aﬃne variety (cid:2) X W a , called the Shi variety of W a , whose integral points are in bijection with W a . The set of irreducible components of (cid:2) X W a , denoted H 0 ( (cid:2) X W a ), is of some interest and we show in this article that H 0 ( (cid:2) X W a ) has a structure of a semidistributive lattice.\",\"PeriodicalId\":44683,\"journal\":{\"name\":\"Journal of Combinatorics\",\"volume\":\"44 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-07-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Combinatorics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4310/joc.2023.v14.n1.a1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4310/joc.2023.v14.n1.a1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 1

摘要

设W是一个不可约Weyl群，W是它的仿射Weyl群。在[4]中定义了一个仿射变量(cid:2) X W a，称为W a的Shi变量，其积分点与W a双射。(cid:2) X wa的不可约分量集h0 ((cid:2) X wa)具有一些有趣的性质，本文证明了h0 ((cid:2) X wa)具有半分配格的结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Lattice associated to a Shi variety

Let W be an irreducible Weyl group and W a its aﬃne Weyl group. In [4] the author deﬁned an aﬃne variety (cid:2) X W a , called the Shi variety of W a , whose integral points are in bijection with W a . The set of irreducible components of (cid:2) X W a , denoted H 0 ( (cid:2) X W a ), is of some interest and we show in this article that H 0 ( (cid:2) X W a ) has a structure of a semidistributive lattice.

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

Journal of Combinatorics MATHEMATICS, APPLIED-

自引率

0.00%

发文量