关于具有恒定秩的交替矩阵的仿射空间

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-05-20 DOI:10.1080/03081087.2024.2356827

Clément de Seguins Pazzis

引用次数: 0

摘要

设 F 是一个域，n≥r>0 为整数，其中 r 为偶数。用 An(F) 表示条目在 F 中的所有 n-by-n 交替矩阵的空间。

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On affine spaces of alternating matrices with constant rank

Let F be a field, and n≥r>0 be integers, with r even. Denote by An⁡(F) the space of all n-by-n alternating matrices with entries in F. We consider the problem of determining the greatest possible d...

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来源期刊

Linear & Multilinear Algebra 数学-数学

CiteScore

2.70

自引率

18.20%

发文量

175

审稿时长

4-8 weeks

期刊介绍： Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.