Bingzhe Hou

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20232026

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math.RA2026

The $ϕ$ -conjugation of quaternionic matrices and generalized Autonne-Takagi factorization

Cailing Yao, Bingzhe Hou, Yue Xin

Let $ϕ$ be a quaternion of modulus $1$ . In this article, we study some topics related to $ϕ$ -conjugation for quaternionic matrices, including $ϕ$ -Hermitian matrices, $ϕ$ -conjugate…

math.RA2023

Some invariants of $U (1, 1; H)$ and diagonalization

Cailing Yao, Bingzhe Hou, Xiaoqi Feng

Denote by $H$ the set of all quaternions. We are interested in the group $U (1, 1; H)$ , which is a subgroup of $2 \times 2$ quaternionic matrix group and is sometimes…

The ϕ-conjugation of quaternionic matrices and generalized Autonne-Takagi factorization

Some invariants of U(1,1;H) and diagonalization

The $ϕ$ -conjugation of quaternionic matrices and generalized Autonne-Takagi factorization

Some invariants of $U (1, 1; H)$ and diagonalization