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Generating weights for the Weil representation attached to an even order cyclic quadratic module by Candelori, Luca; Franc, Cameron; Kopp, Gene S. is a scholarly article available to read on EtoBox.

What is Generating weights for the Weil representation attached to an even order cyclic quadratic module about?

We develop geometric methods to study the generating weights of free modules of vector valued modular forms of half-integral weight, taking values in a complex representation of the metaplectic group. We then compute the generating weights for modular forms taking values in the Weil representation attached to cyclic quadratic modules of order 2p^r, where p is a prime greater than three. We also show that the generating weights approach a simple limiting distribution as p grows, or as r grows and p remains fixed.

Author

Candelori, Luca; Franc, Cameron; Kopp, Gene S.

Published

2016

Language

EN