论文标题
弱雅各比形式的代数的结构,用于根系$ f_4 $
The structure of the algebra of weak Jacobi forms for the root system $F_4$
论文作者
论文摘要
我们证明了大环$ j _ {*,*}^{w,w,w}(f_4)弱jacobi for root system $ f_4 $的多项式性,这些$ f_4 $相对于相应的Weyl组不变。这项工作是与V.A.联合文章的延续。 Gritsenko,研究了与$ d_n $类型的根系相关的弱雅各比形式的代数结构,以$ 2 \ leqslant n \ leqslant 8 $。
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.