most citedTrace map, Cayley transform and LS category of Lie groups

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.RA2009

Symplectic matrices with predetermined left eigenvalues

E. Macías-Virgós, M. J. Pereira-Sáez

We prove that given four arbitrary quaternion numbers of norm 1 there always exists a symplectic matrix for which those numbers are left eigenvalues. The proof is const…

math.AT2009★ 2 cited

Trace map, Cayley transform and LS category of Lie groups

A. Gómez-Tato, E. Macías-Virgós, M. J. Pereira-Sáez

The aim of this paper is to use the so-called Cayley transform to compute the LS category of Lie groups and homogeneous spaces by giving explicit categorical open coverings. When a…

math.RA2008

Left eigenvalues of symplectic matrices

E. Macías-Virgós, M. J. Pereira-Sáez

We obtain a complete characterization of the symplectic matrices having an infinite number of left eigenvalues. Previously, we give a new proof of a result from Huang a…