草曼与根组合数学的簇范畴更正

Pub Date : 2022-09-08 DOI:10.1017/nmj.2022.7

K. Baur, Dusko Bogdanic, Ana GARCIA ELSENER

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引用次数: 3

摘要

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。

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CORRIGENDUM TO “CLUSTER CATEGORIES FROM GRASSMANNIANS AND ROOT COMBINATORICS”

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.

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