Abstract
We obtain lower bounds for the minimal norms in several families of integral lattices associated to the Weil representations of finite symplectic and unitary groups. Ultimately, these bounds come from Elkies' bounds for a certain family of Mordell-Weil lattices of elliptic curves, and from the minima of the Barnes-Wall lattices.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 889-918 |
| Number of pages | 30 |
| Journal | American Journal of Mathematics |
| Volume | 121 |
| Issue number | 4 |
| DOIs | |
| State | Published - Aug 1999 |
ASJC Scopus subject areas
- General Mathematics
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