Self-adjoint elements in the pseudo-unitary group [formula omitted].

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). [ABSTRACT FROM AUTHOR]