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On representations of finite groups in the space of Siegel modular forms and theta series

On representations of finite groups in the space of Siegel modular forms and theta series

A representation irr ) of the symplectic group S p(m ) over the finite field Z /pZ is re a liz e d in the space of Siegel m odular form s of genus m, of level p , and of w eight k .W hen nz=1, Hecke discovered that …