Bill Allombert on Thu, 01 Sep 2016 09:59:05 +0200


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Re: Isometry testing of lattices


On Fri, Aug 26, 2016 at 10:56:21AM -0700, Watson Ladd wrote:
> Dear Pariniks,
> 
> I've noticed that we have an implementation of lattice isometry
> computation that is used for determining the equivalence of quadratic
> forms. Unfortunately I have a problem that requires this computation
> for lattices, and the relation between lattices and quadratic forms is
> not quite as clean as one might hope when trying to compute stronger
> invariants.
> 
> Is there a function that exposes isometry testing for lattices in an
> ambient quadratic space, or will I have to write it myself?

How is your lattice given ? It seems to me you could just chose a basis
and use the Gram matrix of your lattice as a quadratic form.

Cheers,
Bill.