Determinants of Lattices induced by Rational Subspaces |
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Authors: | McMullen Peter |
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Institution: | Department of Mathematics, University College Gower Street, London WC1E 6BT |
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Abstract: | Let L and be orthogonal complementary rational linear subspaces of En, and let = L Zn and $$\stackrel{\¯}{\Lambda}$$ = Zn be the sublatticesof the usual integer lattice Zn induced by L and . Then the determinants of and are equal. The samerelationship holds between the determinants of the lattices and obtained by orthogonal projection of Zn on to L and . |
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