Non-commutative Polynomials of Independent Gaussian Random Matrices. The Real and Symplectic Cases

Details Non-commutative Polynomials of Independent Gaussian Random Matrices. The Real and Symplectic Cases Non-commutative Polynomials of Independent Gaussian Random Matrices. The Real and Symplectic Cases

2003-08-20

arxiv.org/abs/math/0308192v1

Mathematics

Operator Algebras

45 pages, no figures

Scientific paper

In their paper, "A new application of random matrices: Ext(C*_red(F_2)) 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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