101 research outputs found
Generating weights for the Weil representation attached to an even order cyclic quadratic module
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
We study characters of states in -adic vertex operator algebras. In
particular, we show that the image of the character map for both the -adic
Heisenberg and -adic lattice vertex operator algebras contain
infinitely-many non-classical -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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