Representations by unimodular quadratic \(\mathbb{Z}\)-lattices

DOI10.1007/BF02571724zbMath0790.11028OpenAlexW2018643725MaRDI QIDQ1323412

Donald G. James

Publication date: 26 June 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174622

zbMATH Keywords

strong approximationDynkin diagramslocal fielddyadic representationsglobal representationsnumber of inequivalent representationsprimitive representation of a lattice by a unimodular quadratic lattice

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Quadratic forms over local rings and fields (11E08)

Cites Work

• Primitive representations by unimodular quadratic forms
• The number of embeddings of integral quadratic forms. I
• Tie transformations of Dynkin graphs and singularities on quartic surfaces
• On Witt's theorem for unimodular quadratic forms. II
• Representations by integral quadratic forms
• Integral Sums of Squares in Algebraic Number Fields
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• On the Integral Representations of Quadratic Forms Over Local Fields
• The Integral Extension of Isometries of Quadratic Forms Over Local Fields
• Quadratic Forms Over Local Fields
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