Classification of Hermitian Forms with the Neighbour Method
نویسنده
چکیده
The neighbour method of Kneser can be adapted to the hermitian case. Generalizing results of Hof91], we show that it can be used to classify any genus in a hermitian space of dimension 2 by neighbour steps at suitable primes. The method was implemented for positive deenite hermitian lattices (not necessarily free) over Q(p d). A table of class numbers of unimodular genera and the largest minima attained in those genera is given. We also describe a generalization of the LLL-algorithm to lattices in positive hermitian spaces over number elds.
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عنوان ژورنال:
- J. Symb. Comput.
دوره 26 شماره
صفحات -
تاریخ انتشار 1998