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

Fuente: arXiv
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Autore principale: Dobrev, V. K.
Natura: Preprint
Pubblicazione: 2021
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author Dobrev, V. K.
author_facet Dobrev, V. K.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2109_08395
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Invariant Differential Operators for the Real Exceptional Lie Algebra $F"_4$
Dobrev, V. K.
Representation Theory
Mathematical Physics
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.
title Invariant Differential Operators for the Real Exceptional Lie Algebra $F"_4$
topic Representation Theory
Mathematical Physics
url https://arxiv.org/abs/2109.08395