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

Sachin Munshi; Rongwei Yang

doi:10.1016/j.laa.2018.10.001

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

Sachin Munshi
, Rongwei Yang

Mathematics and Statistics

University at Albany

SUNY Albany

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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 C^p,q. The goal of this paper is to describe the set U_s(p,p) of Hermitian, or, self-adjoint elements in U(p,p).

Original language	English
Pages (from-to)	100-113
Number of pages	14
Journal	Linear Algebra and Its Applications
Volume	560
DOIs	https://doi.org/10.1016/j.laa.2018.10.001
State	Published - Jan 1 2019

Keywords

Exponential map
Lie algebra
Pseudo-unitary group
Self-adjoint matrix
Singular value decomposition
Spectral decomposition

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10.1016/j.laa.2018.10.001

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

abstract = "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).",

keywords = "Exponential map, Lie algebra, Pseudo-unitary group, Self-adjoint matrix, Singular value decomposition, Spectral decomposition",

author = "Sachin Munshi and Rongwei Yang",

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AU - Munshi, Sachin

AU - Yang, Rongwei

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N2 - 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).

AB - 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).

KW - Exponential map

KW - Lie algebra

KW - Pseudo-unitary group

KW - Self-adjoint matrix

KW - Singular value decomposition

KW - Spectral decomposition

UR - https://www.scopus.com/pages/publications/85054291155

U2 - 10.1016/j.laa.2018.10.001

DO - 10.1016/j.laa.2018.10.001

M3 - Article

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SP - 100

EP - 113

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

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

Abstract

Keywords

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