Structure theorems for vector valued Siegel modular forms of degree 2 and weight detk ⊗Sym(10)

Sho Takemori
2016 International Journal of Mathematics  
We prove the explicit structure theorems of modules k M det k ⊗Sym(10) (Sp 2 (Z 2 )) of vector valued Siegel modular forms of degree 2, where k runs over the set of even integers or odd integers. We also check the conjecture given by Ibukiyama [7] for modules of vector valued Siegel modular forms of degree 2 of weights det * ⊗Sym(8) and det * ⊗Sym(10).
doi:10.1142/s0129167x16501019 fatcat:ynqjthzuqjd3zoipyxxhpccjxu