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arXiv · 1310.1603

On the genera of certain integral lattices in ternary quadratic spaces

Manabu Murata
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Abstract

This paper treats certain integral lattices with respect to ternary quadratic forms, which are obtained from the data of a non-zero element and a maximal lattice in a quaternary quadratic space. Such a lattice can be described by means of an order associated with the lattice in the even Clifford algebra of the ternary form. This provides a correspondence between the genus of the lattice and that of the order.

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Manabu Murata. 2013-10-06. On the genera of certain integral lattices in ternary quadratic spaces. https://arxiv.org/abs/1310.1603

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