Lower bounds for the minima of certain symplectic and unitary group lattices

Neil Dummigan; Pham Huu Tiep

doi:10.1353/ajm.1999.0027

Lower bounds for the minima of certain symplectic and unitary group lattices

Neil Dummigan, Pham Huu Tiep

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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	https://doi.org/10.1353/ajm.1999.0027
State	Published - Aug 1999

ASJC Scopus subject areas

General Mathematics

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10.1353/ajm.1999.0027

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title = "Lower bounds for the minima of certain symplectic and unitary group lattices",

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.",

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year = "1999",

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doi = "10.1353/ajm.1999.0027",

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AU - Tiep, Pham Huu

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AB - 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.

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DO - 10.1353/ajm.1999.0027

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JO - American Journal of Mathematics

JF - American Journal of Mathematics

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Lower bounds for the minima of certain symplectic and unitary group lattices

Abstract

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