Multiplet Classification and Invariant Differential Operators over the Lie Algebra $$F'_4$$

V K Dobrev

doi:10.1007/978-981-15-7775-8_29

Multiplet Classification and Invariant Differential Operators over the Lie Algebra $$F'_4$$

V K Dobrev

https://doi.org/10.1007/978-981-15-7775-8_29

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Publication Date: Jan 1, 2020

Affiliation: Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences

#Exceptional Lie Algebra #Construction Of Invariant Differential Operators + Show 8 more

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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 $F'_4$ 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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