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A Normal form for Riemann Matrices
Published online by Cambridge University Press: 20 November 2018
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A matrix ω having p rows and 2p columns of complex number elements is called a Riemann matrix of genus p if there exists a rational 2p-rowed skew matrix C such that
(1)
is positive definite Hermitian. The matrix C is then called a principal matrix of ω. If ω and ω0 are two Riemann matrices of the same genus, we say that ω and ω0 are isomorphic if there exists a non-singular p-rowed complex matrix α, and a non-singular 2p-rowed rational matrix A, such that
(2)
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- Copyright © Canadian Mathematical Society 1965