Operator norms of words formed from positive-definite matrices.
Orbit measures, random matrix theory and interlaced determinantal processes
A connection between representation of compact groups and some invariant ensembles of hermitian matrices is described. We focus on two types of invariant ensembles which extend the gaussian and the Laguerre Unitary ensembles. We study them using projections and convolutions of invariant probability measures on adjoint orbits of a compact Lie group. These measures are described by semiclassical approximation involving tensor and restriction multiplicities. We show that a large class of them are determinantal....
Orders in quaternion algebras.
Orders of some modular linear groups.
Orthogonal diagonalization for complex skew-persymmetric anti-tridiagonal Hankel matrices
In this paper, we obtain an eigenvalue decomposition for any complex skew-persymmetric anti-tridiagonal Hankel matrix where the eigenvector matrix is orthogonal.
Orthogonal polynomial ensembles in probability theory.
Overlapping Pfaffians.