The structure of the algebra of weak Jacobi forms for the root system $F_4$

Dmitrii Adler

The structure of the algebra of weak Jacobi forms for the root system $F_4$

Algebraic Geometry 2020-07-15 v1

Authors: Dmitrii Adler

Abstract

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 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.

Keywords

weak jacobi forms root system f4 weyl group bigraded ring polynomiality algebra structure

Cite

@article{arxiv.2007.07116,
  title  = {The structure of the algebra of weak Jacobi forms for the root system $F_4$},
  author = {Dmitrii Adler},
  journal= {arXiv preprint arXiv:2007.07116},
  year   = {2020}
}

Comments

19 pages

The structure of the algebra of weak Jacobi forms for the root system $F_4$

Abstract

Keywords

Cite

Comments

Related papers