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arXiv · 1810.03214

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

Sachin Munshi·Rongwei Yang
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Abstract

The pseudo-unitary group ${\bf U}\left(p,q\right)$ 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 ${\bf U}_{s}\left(p,p\right)$ of Hermitian, or, self-adjoint elements in ${\bf U}\left(p,p\right)$.

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Sachin Munshi, Rongwei Yang. 2018-10-07. Self-adjoint Elements in the Pseudo-unitary Group ${\bf U}\left(p,p\right)$. https://doi.org/10.1016/j.laa.2018.10.001

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