Symmetric Bilinear Forms

Inhaltsverzeichnis

• I. Basic Concepts.
• II. Symmetric Inner Product Spaces over Z.
• III. Inner Product Spaces over a Field.
• IV. Discrete Valuations and Dedekind Domains.
• V. Some Examples.
• Appendix 1. Quadratic Forms.
• Appendix 2. Hermitian Forms.
• Appendix 3. The Hasse-Minkowski Theorem.
• Appendix 4. Gauss Sums, the Signature mod 8, and Quadratic Reciprocity.
• Appendix 5. The Leech Lattice, and Other Lattices in Dimension 24.
• Chronological Table.
• References.
• Special Notations.