On projections of free semialgebraic sets

被引：1
|
作者：
Drescher, Tom [1 ]
Netzer, Tim [1 ]
Thom, Andreas [2 ]
机构：
[1] Univ Innsbruck, A-6020 Innsbruck, Austria
[2] Tech Univ Dresden, D-01062 Dresden, Germany
来源：
ADVANCES IN GEOMETRY | 2023年 / 23卷 / 02期
基金：
奥地利科学基金会;
关键词：
Semialgebraic set; projection theorem; Hermitian matrix;
D O I：
10.1515/advgeom-2022-0021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We examine to what extent a projection theorem is possible in the non-commutative (free) setting. We first review and extend some results that count against a full free projection theorem. We then obtain a weak version of the projection theorem: projections along linear and separated variables yield semialgebraically parametrised free semi-algebraic sets.
引用
收藏
页码：207 / 214
页数：8
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