On the Minor Problem and Branching Coefficients
Representation Theory
2020-06-05 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
The Minor problem, namely the study of the spectrum of a principal submatrix of a Hermitian matrix taken at random on its orbit under conjugation, is revisited, with emphasis on the use of orbital integrals and on the connection with branching coefficients in the decomposition of an irreducible representation of U(n), resp. SU(n), into irreps of U(n-1), resp. SU(n-1).
Cite
@article{arxiv.2006.03006,
title = {On the Minor Problem and Branching Coefficients},
author = {Jean-Bernard Zuber},
journal= {arXiv preprint arXiv:2006.03006},
year = {2020}
}