Hasse graphs and parabolic subalgebras of exceptional Lie algebra F_4

Abstract

We study, from the point of view of abstract representation theory, graded parabolic subalgebras of exceptional Lie algebra F_4. For standard parabolic subalgebras of F_4 up to grading |4| we identify explicitly representation structure of all graded parts and we also construct corresponding Hasse diagrams.

Keywords

• Hasse
• graphs
• parabolic
• subalgebras
• exceptional
• algebra
• F_4