Invariant Differential Operators for the Real Exceptional Lie Algebra $F'_4$
Mathematical Physics
2025-03-31 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
Representation Theory
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 which is split real form of the exceptional Lie algebra . We consider induction from a maximal parabolic algebra. We classify the reducible Verma modules over which are compatible with this induction. Thus, we obtain the classification of the corresponding invariant differential operators.
Keywords
Cite
@article{arxiv.2503.22407,
title = {Invariant Differential Operators for the Real Exceptional Lie Algebra $F'_4$},
author = {V. K. Dobrev},
journal= {arXiv preprint arXiv:2503.22407},
year = {2025}
}
Comments
12 pages, 1 figure, LaTex. arXiv admin note: text overlap with arXiv:2109.08395, arXiv:1903.11511