Non-commutative Polynomials of Independent Gaussian Random Matrices. The Real and Symplectic Cases
Hanne Schultz
Abstract
In their paper, "A new application of random matrices: Ext(C*red(F2)) is not a group", Haagerup and Thorbjornsen prove an extension of Voiculescu's random matrix model for independent complex self-adjoint Gaussian random matrices. We generalize their result to random matrices with real or symplectic entries (the GOE- and the GSE-ensembles) and random matrix ensembles related to these.
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