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Half-Integral Weight Modular Forms and Modular forms for Weil representations

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 نشر من قبل Yichao Zhang
 تاريخ النشر 2017
  مجال البحث
والبحث باللغة English
 تأليف Yichao Zhang




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We establish an isomorphism between certain complex-valued and vector-valued modular form spaces of half-integral weight, generalizing the well-known isomorphism between modular forms for $Gamma_0(4)$ with Kohnens plus condition and modular forms for the Weil representation associated to the discriminant form for the lattice with Gram matrix $(2)$. With such an isomorphism, we prove the Zagier duality and write down the Borcherds lifts explicitly.



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