Self-adjoint elements in the pseudo-unitary group U(p,p)

The pseudo-unitary group U(p,q) of signature (p,q) is the group of matrices that preserve the indefinite pseudo-Euclidean metric on the vector space Cp,q. The goal of this paper is to describe the set Us(p,p) of Hermitian, or, self-adjoint elements in U(p,p).

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Bibliographic Details
Published inLinear algebra and its applications Vol. 560; pp. 100 - 113
Main Authors Munshi, Sachin, Yang, Rongwei
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 01.01.2019
American Elsevier Company, Inc
Subjects
Euclidean geometry
Euclidean space
Exponential map
Lie algebra
Lie groups
Linear algebra
Mathematical analysis
Matrix
Matrix methods
Numerical analysis
Pseudo-unitary group
Self-adjoint matrix
Singular value decomposition
Spectral decomposition
Uranium
20G20
Pseudo-unitary group
Self-adjoint matrix
15Axx
Exponential map
15B57
Spectral decomposition
Lie algebra
Singular value decomposition
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Summary:The pseudo-unitary group U(p,q) of signature (p,q) is the group of matrices that preserve the indefinite pseudo-Euclidean metric on the vector space Cp,q. The goal of this paper is to describe the set Us(p,p) of Hermitian, or, self-adjoint elements in U(p,p).
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2018.10.001