Invariant Differential Operators for the Real Exceptional Lie Algebra $F{"}_4$

Abstract

In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact exceptional Lie algebra $F{"}_4$ which is the split rank one form of the exceptional Lie algebra $F_4$. We classify the reducible Verma modules over $F_4$ which are compatible with this induction. Thus, we obtain the classification of the corresponding invariant differential operators.

18 pages, Contribution to Peter Suranyi Festschrift; v2: small additions

References in corpus (1)

• Invariant Differential Operators for Non-Compact Lie Algebras Parabolically Related to Conformal Lie Algebras