Hecke operators on theta series attached to lattices of arbitrary rank

Lynne Walling

Displaying similar documents to “Hecke operators on theta series attached to lattices of arbitrary rank”

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We derive a relation between induced representations on the group ${GL}_{2} (ℤ / p^{2} ℤ)$ which implies a relation between the jacobians of certain modular curves of level $p^{2}$ . The motivation for the construction of this relation is the determination of the applicability of Mazur’s method to the modular curve associated to the normalizer of a non-split Cartan subgroup of ${GL}_{2} (ℤ / p^{2} ℤ)$ .

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