Self-adjoint Elements in the Pseudo-unitary Group $\mathbf{U}\left(p,p\right)$

Abstract

The pseudo-unitary group $\mathbf{U}\left(p,q\right)$ of signature $\left(p,q\right)$ is the group of matrices that preserve the indefinite pseudo-Euclidean metric on the vector space ${\mathbb{C}}^{p,q}$. The goal of this paper is to describe the set ${\mathbf{U}}_s\left(p,p\right)$ of Hermitian, or, self-adjoint elements in $\mathbf{U}\left(p,p\right)$.

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• Constant solutions of Yang-Mills equations and generalized Proca equations
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Cited by in corpus (3)

• Linear Canonical Transformations in Relativistic Quantum Physics
• Sterile neutrinos existence suggested from LCT covariance
• Fixed points and normal automorphisms of the unit ball of bounded operators on ${\mathbb{C}}^n$