Note on the cortex of some exponential Lie groups

摘要

In this paper, we built a family of 4d-dimensional two-stepnilpotent Lie algebras (rak gd)d≧ 2 so that the cortex ofthe dual of each rak gd is a projective algebraic set.We also give a complete description of the cortex of the exponential connected and simply connected Lie groupG=RntimesR.