Theta-series of even unimodular 24-dimensional lattices
β Scribed by V. A. Erokhin
- Publisher
- Springer US
- Year
- 1981
- Tongue
- English
- Weight
- 447 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
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 Γ1 in the automorphism groups of all the Niemeier lattices, which are even un
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