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arXiv · 2503.22407

Invariant Differential Operators for the Real Exceptional Lie Algebra $F'_4$

V. K. Dobrev
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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 $F'_4=F_{4(4)}$ which is split real form of the exceptional Lie algebra $F_4$. We consider induction from a maximal parabolic algebra. 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.

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BibTeXRIS

V. K. Dobrev. 2025-03-28. Invariant Differential Operators for the Real Exceptional Lie Algebra $F'_4$. https://doi.org/10.22323/1.376.0233

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