On linear spaces of skew-symmetric matrices of constant rank

被引：0

作者：

L. Manivel

E. Mezzetti

机构：

[1] Institut Fourier,Dipartimento di Matematica e Informatica

[2] UMR 5582 (UJF-CNRS),undefined

[3] Università di Trieste,undefined

来源：

manuscripta mathematica | 2005年 / 117卷

关键词：

Linear System; Number Theory; Linear Space; Algebraic Geometry; Topological Group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Motivated by the study of congruences of lines, we consider linear systems of skew-symmetric matrices of order six and constant rank four. We prove that, up to projective automorphisms, there exist exactly four types of such linear systems of dimension two, giving four families all of the same dimension.

引用

页码：319 / 331

页数：12

共 50 条

[21] SUMS OF ORTHOGONAL, SYMMETRIC, AND SKEW-SYMMETRIC MATRICES
de la Cruz, Ralph john
Paras, Agnes
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2022, 38 : 655 - 660
[22] Rank-width and well-quasi-ordering of skew-symmetric or symmetric matrices
Oum, Sang-il
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (07) : 2008 - 2036
[23] Interval linear systems with symmetric matrices, skew-symmetric matrices and dependencies in the right hand side
Jansson, C., 1600, (46):
[24] Principally unimodular skew-symmetric matrices
Bouchet, A
Cunningham, WH
Geelen, JF
COMBINATORICA, 1998, 18 (04) : 461 - 486
[25] STRUCTURED SHIFTS FOR SKEW-SYMMETRIC MATRICES
GREIF, C. H. E. N.
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2022, 55 : 455 - 468
[26] EIGENVALUE ALGORITHM FOR SKEW-SYMMETRIC MATRICES
PAARDEKOOPER, MH
NUMERISCHE MATHEMATIK, 1971, 17 (03) : 189 - +
[27] On the preconditioning of matrices with skew-symmetric splittings
Gene H. Golub
Denis Vanderstraeten
Numerical Algorithms, 2000, 25 : 223 - 239
[28] Converting immanants on skew-symmetric matrices
Duffner, M. A.
Guterman, A. E.
Spiridonov, I. A.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 618 : 76 - 96
[29] Multiple Factorization of Skew-Symmetric Matrices
Yengibaryan, B. N.
Yengibaryan, N. B.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2022, 57 (05): : 283 - 288
[30] On the preconditioning of matrices with skew-symmetric splittings
Golub, GH
Vanderstraeten, D
NUMERICAL ALGORITHMS, 2000, 25 (1-4) : 223 - 239

← 1 2 3 4 5 →