2020/06/04 by Jean-Bernard Zuber, Zuber, Jean-Bernard
Computer Science · Mathematics · Physics and Astronomy · #22E46 05E10 17B10 15B52 #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Random Matrices and Applications #Representation Theory (math.RT) #Spectral Theory in Mathematical Physics #math-ph #math.CO #math.MP #math.RT #msc:05E10 #msc:15B52 #msc:17B10 #msc:22E46
paper · pdf · doi:10.48550/arxiv.2006.03006
arxiv created 2020/06/04 · openalex publication_date 2020/06/04 · arxiv updated 2020/06/05 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
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).