Title: ON THE CALCULATION OF HIVES ASSOCIATED TO SUMS OF SELFADJOINT MATRICES.
Authors: BERCOVICI, HARI; WING SUET LI
Abstract: We present a technique that can be used in the study of a conjecture by Danilov and Koshevoy, concerning triples (A, B,C) of n x n complex selfadjoint matrices such that C = A B. The conjecture proposes an explicit formula, in terms of traces of compressions of A and B, for one associated hive. We also use this technique to show why an earlier attempt to prove the conjecture fails for n = 4. AMS 2020 Subject Classification: 15A18.
Subjects: COMPLEX matrices; EIGENVALUES; LOGICAL prediction; HONEYCOMBS; MATRICES (Mathematics)
Publication: Romanian Journal of Pure & Applied Mathematics / Revue Roumaine de Mathematiques Pures et Appliquees, 2024, Vol 69, Issue 3/4, p375
ISSN: 0035-3965
Publication type: Academic Journal
DOI: 10.59277/RRMPA.2024.375.395

ON THE CALCULATION OF HIVES ASSOCIATED TO SUMS OF SELFADJOINT MATRICES.

BERCOVICI, HARI; WING SUET LI