CORRIGENDUM TO “CLUSTER CATEGORIES FROM GRASSMANNIANS AND ROOT COMBINATORICS”

Pub Date : 2022-09-08 DOI:10.1017/nmj.2022.7
K. Baur, Dusko Bogdanic, Ana GARCIA ELSENER
{"title":"CORRIGENDUM TO “CLUSTER CATEGORIES FROM GRASSMANNIANS AND ROOT COMBINATORICS”","authors":"K. Baur, Dusko Bogdanic, Ana GARCIA ELSENER","doi":"10.1017/nmj.2022.7","DOIUrl":null,"url":null,"abstract":"Abstract In this note, we correct an oversight regarding the modules from Definition 4.2 and proof of Lemma 5.12 in Baur et al. (Nayoga Math. J., 2020, 240, 322–354). In particular, we give a correct construction of an indecomposable rank \n$2$\n module \n$\\operatorname {\\mathbb {L}}\\nolimits (I,J)$\n , with the rank 1 layers I and J tightly \n$3$\n -interlacing, and we give a correct proof of Lemma 5.12.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/nmj.2022.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3

Abstract

Abstract In this note, we correct an oversight regarding the modules from Definition 4.2 and proof of Lemma 5.12 in Baur et al. (Nayoga Math. J., 2020, 240, 322–354). In particular, we give a correct construction of an indecomposable rank $2$ module $\operatorname {\mathbb {L}}\nolimits (I,J)$ , with the rank 1 layers I and J tightly $3$ -interlacing, and we give a correct proof of Lemma 5.12.
分享
查看原文
草曼与根组合数学的簇范畴更正
在本文中,我们纠正了Baur et al. (Nayoga Math)中关于定义4.2和引理5.12证明的模块的疏忽。[J] .生物医学工程学报,2020,24(2):322-354。特别地,我们给出了秩为$2$的不可分解模块$\operatorname {\mathbb {L}}\nolimits (I,J)$的正确构造,其中秩为1的层I和J紧密交错,并给出了引理5.12的正确证明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信