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

Representation Theory 2024-04-15 v2 Mathematical Physics math.MP

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"4F"_4 which is the split rank one form of the exceptional Lie algebra F4F_4. We classify the reducible Verma modules over F4F_4 which are compatible with this induction. Thus, we obtain the classification of the corresponding invariant differential operators.

Keywords

Cite

@article{arxiv.2109.08395,
  title  = {Invariant Differential Operators for the Real Exceptional Lie Algebra $F"_4$},
  author = {V. K. Dobrev},
  journal= {arXiv preprint arXiv:2109.08395},
  year   = {2024}
}

Comments

18 pages, Contribution to Peter Suranyi Festschrift; v2: small additions