The structure of the algebra of weak Jacobi forms for the root system F₄

2020/07/14 by Adler, Dmitrii
#11F50 #16W22 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2007.07116

Abstract

We prove the polynomiality of the bigraded ring J_*,*^{w, W}(F₄) of weak Jacobi forms for the root system F₄ which are invariant with respect to the corresponding Weyl group. This work is a continuation of the joint article with V.A. Gritsenko, where the structure of algebras of the weak Jacobi forms related to the root systems of D_n type for 2\leqslant n \leqslant 8 was studied.

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