On dimension of poset variety

被引：1
|
作者：
Fonseca, Claudia Cavalcante [1 ]
Iusenko, Kostiantyn [1 ]
机构：
[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, Brazil
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2019年 / 568卷
基金：
巴西圣保罗研究基金会;
关键词：
Poset; Representations; Euler quadratic form; Poset variety; FORMS;
D O I：
10.1016/j.laa.2018.06.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a finite partially ordered set we calculate the dimension of the variety of its subspace representations having fixed dimension vector. The dimension is given in terms of the Euler quadratic form associated with a partially ordered set, which gives a geometric interpretation of this form. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：155 / 164
页数：10
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