Showing math.RAShow all
3 papers · 1 filter
math.RA2024
Isomorphisms between lattices of hyperinvariant subspaces
David Mingueza, M. Eulàlia Montoro, Alicia Roca
Given two nilpotent endomorphisms, we determine when their lattices of hyperinvariant subspaces are isomorphic. The study of the lattice of hyperinvariant subspaces can be reduced…
math.RA2019
The centralizer of an endomorphism over an arbitrary field
Mingueza David, Montoro M. Eulalia, Roca Alicia
The centralizer of an endomorphism of a finite dimensional vector space is known when the endomorphism is nonderogatory or when its minimal polynomial splits over the field. It is…
math.RA2018
The lattice of characteristic subspaces of an endomorphism with Jordan-Chevalley decomposition
David Mingueza, M. Eulàlia Montoro, Alicia Roca
Given an endomorphism A over a finite dimensional vector space having Jordan-Chevalley decomposition, the lattices of invariant and hyperinvariant subspaces of A can be obtained fr…