[EN] We obtain the cardinality of the lattice of characteristic sub-spaces of a nilpotent Jordan matrix when the underlying field is GF(2), the only field where the lattices of characteristic and hyperinvariant subspaces ...
Mingueza, David; Montoro, M. Eulàlia; Roca Martinez, Alicia(Elsevier, 2020-04-15)
[EN] 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 also known for the real Jordan canonical ...
Mingueza, David; Montoro, M. Eulàlia; Roca Martinez, Alicia(Elsevier, 2016-10-01)
[EN] Given a square matrix A in Mn(F), the lattices of the hyper-invariant (Hinv(A)) and characteristic (Chinv(A)) subspaces coincide whenever Fis not GF(2). If the characteristic polynomial of A splits over F, A can be ...