On the Distribution of Products of Spherical Classes in Classical Symmetric Spaces of Rank One

Details On the Distribution of Products of Spherical Classes in Classical Symmetric Spaces of Rank One On the Distribution of Products of Spherical Classes in Classical Symmetric Spaces of Rank One

2006-08-11

arxiv.org/abs/math/0608281v1

Mathematics

Representation Theory

32 pages, Submitted for publication

Scientific paper

The distribution of products of random matrices chosen from fixed spherical
classes is determined for classical rank 1 symmetric spaces. It is observed
that $n\to\infty$ limit behaves approximately as in the abelian case. A theorem
on the rate of convergence to the Haar measure in the case of SU(n) is also
established.

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