Shells of selfdual lattices viewed as spherical designs

Pache, Claude

doi:10.1142/s0218196705002797

Scientific article

Open access

English

Shells of selfdual lattices viewed as spherical designs

ContributorsPache, Claude

Published inInternational journal of algebra and computation, vol. 15, no. 5/6, p. 1085-1127

Publication date2005

Abstract

We find out for which $t$ shells of selfdual lattices and of theirs shadows are spherical $t$-designs. The method uses theta series of lattices, which are modular forms. We analyse fully cubic and Witt lattices, as well as all selfdual lattices of rank at most 24.

Classification

arxiv : math.CO

Affiliation

Faculté des sciences / Section de mathématiques

Citation (ISO format)

PACHE, Claude. Shells of selfdual lattices viewed as spherical designs. In: International journal of algebra and computation, 2005, vol. 15, n° 5/6, p. 1085–1127. doi: 10.1142/s0218196705002797

Article

Identifiers

PID : unige:12149
DOI : 10.1142/s0218196705002797
arXiv : math/0502313

ISSN of the journal0218-1967

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Shells of selfdual lattices viewed as spherical designs

We find out for which $t$ shells of selfdual lattices and of theirs shadows are spherical $t$-designs. The method uses theta series of lattices, which are modular forms. We analyse fully cubic and Witt lattices, as well as all selfdual lattices of rank at most 24.

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