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On representations of finite groups in the space of modular forms of half-integral weight

On representations of finite groups in the space of modular forms of half-integral weight

Introduction.Let p be a prime and k an integer.In 1940, Hecke stu- died a representation of SL2(Z/pZ) which is realized in the space of modu- lar forms of level p and of weight/c and obtained beautiful results.In this paper, we study a similar representation rk+l/2 which is realized in the …