Invariant Differential Operators for the Real Exceptional Lie Algebra $F'_4$
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908288479657984 |
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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 $F'_4=F_{4(4)}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22407 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariant Differential Operators for the Real Exceptional Lie Algebra $F'_4$ Dobrev, V. K. Mathematical Physics High Energy Physics - Theory Quantum Algebra Representation Theory 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. |
| title | Invariant Differential Operators for the Real Exceptional Lie Algebra $F'_4$ |
| topic | Mathematical Physics High Energy Physics - Theory Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2503.22407 |