Abstract
In this chapter, we construct lattices (often classical, but sometimes new, such as the K ′ n series) inside semi-simple algebras with involutions, using the twisted reduced trace to produce Euclidean structures. The lattices are then modules over suitable subrings of these algebras.
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© 2003 Springer-Verlag Berlin Heidelberg
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Martinet, J. (2003). Hermitian Lattices. In: Perfect Lattices in Euclidean Spaces. Grundlehren der mathematischen Wissenschaften, vol 327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05167-2_8
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DOI: https://doi.org/10.1007/978-3-662-05167-2_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07921-4
Online ISBN: 978-3-662-05167-2
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