A Classification of Non-Hermitian Random Matrices

Denis Bernard; Andre LeClair

doi:10.1007/978-94-010-0514-2_19

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A Classification of Non-Hermitian Random Matrices

Denis Bernard·Andre LeClair

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Abstract

We present a classification of non-hermitian random matrices based on implementing commuting discrete symmetries. It contains 38 classes. This generalizes the classification of hermitian random matrices due to Altland-Zirnbauer and it also extends the Ginibre ensembles of non-hermitian matrices.

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Denis Bernard, Andre LeClair. 2020-02-26. A Classification of Non-Hermitian Random Matrices. https://doi.org/10.1007/978-94-010-0514-2_19

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