On commuting varieties of upper triangular matrices

被引：2

作者：

Basili, Roberta ^{[1
]}

机构：

[1] Liceo Principe Napoli, Liceo Sci Annesso Convitto Nazl, Piazza Matteotti 14, I-06081 Assisi, Italy

来源：

COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 04期

关键词：

Commuting varieties; complete intersection; irreducible component; upper triangular matrices;

D O I：

10.1080/00927872.2016.1178272

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that the variety of the pairs of n x n commuting upper triangular matrices is not a complete intersection for infinitely many values of n; we show that there exists in such that this happens if and only if n > m. We also show that m < 18 and that m could be found by determining the dimension of the variety of the pairs of commuting strictly upper triangular matrices. Then, we define an embedding of any commuting variety into a grassmannian of subspaces of codimension 2.

引用

页码：1533 / 1541

页数：9

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