101 research outputs found

    Generating weights for the Weil representation attached to an even order cyclic quadratic module

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    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

    Characters in p-adic Heisenberg and Lattice Vertex Operator Algebras

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    We study characters of states in pp-adic vertex operator algebras. In particular, we show that the image of the character map for both the pp-adic Heisenberg and pp-adic lattice vertex operator algebras contain infinitely-many non-classical pp-adic modular forms which are not contained in the image of the algebraic character map.Comment: 15 pages, V2 fixed typo in Lemma 3.4, V3 added background subsections and introduction restructure
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