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Theta-series of even unimodular lattices

✍ Scribed by V. A. Erokhin


Publisher
Springer US
Year
1984
Tongue
English
Weight
476 KB
Volume
25
Category
Article
ISSN
1573-8795

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We classify even unimodular Gaussian lattices of rank 12, that is, even unimodular integral lattices of rank 12 over the ring of Gaussian integers. This is equivalent to the classification of the automorphisms t with t 2 ΒΌ Γ€1 in the automorphism groups of all the Niemeier lattices, which are even un

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✍ Benedict H. Gross; Curtis T. McMullen πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 215 KB

In this paper we study the characteristic polynomials S(x) = det(xI -F | II p,q ) of automorphisms of even unimodular lattices with signature (p, q). In particular, we show that any Salem polynomial of degree 2n satisfying S(-1)S(1) = (-1) n arises from an automorphism of an indefinite lattice, a re