On the genera of certain integral lattices in ternary quadratic spaces

29 Mar 2018  ·  Murata Manabu ·

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. read more

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Number Theory