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- W3215436281 abstract "In this paper we study Jacobi forms associated with the Leech lattice $Lambda$ which are invariant under the Conway group $mathrm{Co}_0$. We determine and construct generators of modules of both weak and holomorphic Jacobi forms of integral weight and fixed index $tleq 3$. As applications, (1) we find the modular linear differential equations satisfied by the holomorphic generators; (2) we determine the decomposition of many products of orbits of Leech vectors; (3) we calculate the intersection between orbits and Leech vectors; (4) we derive some conjugate relations among orbits modulo $tLambda$." @default.
- W3215436281 created "2021-12-06" @default.
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- W3215436281 date "2021-11-22" @default.
- W3215436281 modified "2023-09-27" @default.
- W3215436281 title "Conway invariant Jacobi forms on the Leech lattice" @default.
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- W3215436281 doi "https://doi.org/10.48550/arxiv.2111.10999" @default.
- W3215436281 hasPublicationYear "2021" @default.
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