Geodesic
The Structure of the Algebra of Weak Jacobi Forms for the Root System $F_4$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 54 (2020) no. 3, pp. 8-25

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We prove the polynomiality of the bigraded ring $J_{*,*}^{w, W}(F_4)$ of weak Jacobi forms for the root system $F_4$ which are invariant with respect to the corresponding Weyl group. This work is a continuation of a joint article with V. A. Gritsenko, where the structure of the algebras of weak Jacobi forms related to the root systems of $D_n$ type for $2\leqslant n \leqslant 8$ was studied.
Keywords: Jacobi forms, invariant theory. 
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     author = {D. V. Adler},
     title = {The {Structure} of the {Algebra} of {Weak} {Jacobi} {Forms} for the {Root} {System} $F_4$},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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D. V. Adler. The Structure of the Algebra of Weak Jacobi Forms for the Root System $F_4$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 54 (2020) no. 3, pp. 8-25. http://geodesic.mathdoc.fr/item/FAA_2020_54_3_a1/