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Weil Representations of Finite Quadratic Modules

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2130))

Abstract

We carry over the notations of the previous chapter. As before, K denotes a number field of degree n over \(\mathbb{Q}\), and we use \(\mathcal{O}\), \(\mathfrak{d}\) for the ring of integers and the different of K, respectively. Moreover, we shall use Γ for the group \(\text{SL}(2,\mathcal{O})\) and \(\tilde{\varGamma }\) for a certain central extension of Γ (see Sect. 2.2 for the definition of \(\tilde{\varGamma }\)).

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Boylan, H. (2015). Weil Representations of Finite Quadratic Modules. In: Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields. Lecture Notes in Mathematics, vol 2130. Springer, Cham. https://doi.org/10.1007/978-3-319-12916-7_2

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