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arXiv · 0903.1486

On character values and decomposition of the Weil representation associated to a finite abelian group

Amritanshu Prasad
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Abstract

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 Sp_{2g}(Z/NZ) is described for odd N.

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BibTeXRIS

Amritanshu Prasad. 2009-03-09. On character values and decomposition of the Weil representation associated to a finite abelian group. https://arxiv.org/abs/0903.1486

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