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Shells of selfdual lattices viewed as spherical designs

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Published in International Journal of Algebra and Computation. 2005, vol. 15, no. 5/6, p. 1085-1127
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.
Stable URL http://archive-ouverte.unige.ch/unige:12149
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Deposited on : 2010-10-19

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