Algebraic aspect of certain admissible maps for classifying spaces

Abstract

The admissible map that determines a map between classifying spaces of connected compact Lie groups can be regarded as a matrix. We discuss the diagonalizability of such matrices as well as the triangularizability, particularly in the case of generalized cyclic matrices. Sometimes a high–dimensional behavior characterizes the induced homomorphism of the cohomology. We will generalize some results in [8].