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Structure of Jacobi forms for root lattice D_8 D. Adler Department of Mathematics, National Research University "Higher School of Economics" |
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Abstract: For any lattice equipped with scalar product one can define Jacobi forms associated with this lattice. In some cases such Jacobi forms have a structure of free algebra over the ring of modular forms. In my talk I will prove this result in case of Jacobi forms associated with root lattice D_8. Also I will construct generators of this algebra. |