On the Construction of Positive Definite Indecomposable Unimodular Even Hermitian Forms Original Research Article

Let image([formula]) (m > 0 and square free) be an imaginary quadratic field and Dm its ring of integers. It is proved that if any given natural numbers n and square-free m satisfying the condition m ≡ 1 (mod 4) and 4 n, or m ≡ 2 (mod 4) and 2 n, then we can construct explicitly indecomposable positive definite even unimodular Hermitian Dm-lattices of rank n.