Corpus ID: 119727305

Weil representations associated to finite quadratic modules

  title={Weil representations associated to finite quadratic modules},
  author={F. Stromberg},
  • F. Stromberg
  • Published 2011
  • Mathematics
  • To any finite quadratic module, that is, a finite abelian group together with a non-degenerate quadratic form, it is possible to associate a representation of Mp2(Z), the metaplectic cover of the modular group. This representation is usually referred to as a Weil representation and our main result is a general explicit formula for its matrix coefficients. This result completes earlier work by Scheithauer in the case when the representation factors through SL2(Z). Furthermore, our formula is… CONTINUE READING
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