SHELLS OF SELFDUAL LATTICES VIEWED AS SPHERICAL DESIGNS-Reference-Cited by-同舟云学术

SHELLS OF SELFDUAL LATTICES VIEWED AS SPHERICAL DESIGNS

Published:2005-10 Issue:05n06 Volume:15 Page:1085-1127
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

PACHE CLAUDE¹

Affiliation:

1. University of Geneva, Switzerland

Abstract

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

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196705002797

Reference18 articles.

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