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=F4(4) which is split real form of the exceptional Lie algebra F4. We consider induction from a maximal parabolic algebra. We classify the reducible Verma modules over F4 which are compatible with this induction. Thus, we obtain the classification of the corresponding invariant differential operators.
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