3 papers
math.DG2020
Elliptic isometries of the manifold of definite positive real matrices with the trace metric
Alberto Dolcetti, Donato Pertici
We study the differential-geometric properties of the loci of fixed points of the elliptic isometries of the manifold of definite positive real matrices with the trace metric. We a…
math.RA2017
Some additive decompositions of -regular matrices
Alberto Dolcetti, Donato Pertici
Under suitable hypotheses on the ground field and on the matrix , we discuss existence, uniqueness and properties of some additive decompositions of and of its image through…
math.RA2017
Some remarks on the Jordan-Chevalley decomposition
Alberto Dolcetti, Donato Pertici
In this note we mainly study the fine Jordan-Chevalley decomposition: a refinement of the classical Jordan-Chevalley decomposition of a matrix and we pay a particular attention to…