On Character Values and Decomposition of the Weil Representation Associated to a Finite Abelian Group

نویسنده

  • AMRITANSHU PRASAD
چکیده

We develop a simple algebraic approach to the study of the Weil representation associated to a finite abelian group. As a result, we obtain a simple proof of a generalisation of a well-known formula for the absolute value of its character. We also obtain a new result about its decomposition into irreducible representations. As an example, the decomposition of the Weil representation of Sp2g(Z/NZ) is described for odd N .

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تاریخ انتشار 2009