Abstract
Let q: Z n → Z with q( v) = ∑ n i = 1 v( t) 2 + ∑ i < j a ij v( i) v( j) be a unit form. We present an algorithm that allows one to check if q is weakly nonnegative [i.e., q( v) ⩾ 0 for any vector v ∈ N n ]. The algorithm also calculates the set of critical vectors of q. We sketch the relation of this problem to the representation theory of finite-dimensional algebras.
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