دانلود کتاب Compositions of Quadratic Forms

فهرست مطالب :

Introduction\nChapter 0. Historical Background\nExercises\nNotes\nPart I. Classical Compositions and Quadratic Forms\nChapter 1. Spaces of Similarities\nAppendix. Composition algebras\nExercises\nNotes\nChapter 2. Amicable Similarities\nExercises\nNotes\nChapter 3. Clifford Algebras\nExercises\nNotes\nChapter 4. C-Modules and the Decomposition Theorem\nAppendix. λ-Hermitian forms over C\nExercises\nNotes\nChapter 5. Small (s, t)-Families\nExercises\nNotes\nChapter 6. Involutions\nExercises\nNotes\nChapter 7. Unsplittable (σ, τ)-Modules\nExercises\nNotes\nChapter 8. The Space of All Compositions\nExercises\nNotes\nChapter 9. The Pfister Factor Conjecture\nAppendix. Pfister forms and function fields\nExercises\nNotes\nChapter 10. Central Simple Algebras and an Expansion Theorem\nExercises\nNotes\nChapter 11. Hasse Principles\nAppendix. Hasse principle for divisibility of forms\nExercises\nNotes\nPart II. Compositions of Size [r, s, n]\nIntroduction\nChapter 12. [r, s, n]-Formulas and Topology\nAppendix. More applications of topology to algebra\nExercises\nNotes\nChapter 13. Integer Composition Formulas\nAppendix A. A new proof of Yuzvinsky’s theorem\nAppendix B. Monomial compositions\nAppendix C. Known upper bounds for r * s\nExercises\nNotes\nChapter 14. Compositions over General Fields\nAppendix. Compositions of quadratic forms α, β, γ\nExercises\nNotes\nChapter 15. Hopf Constructions and Hidden Formulas\nAppendix. Polynomial maps between spheres\nExercises\nNotes\nChapter 16. Related Topics\nA. Higher degree forms permitting composition\nB. Vector products and composition algebras\nC. Compositions over rings and over fields of characteristic 2\nD. Linear spaces of matrices of constant rank\nExercises\nNotes\nReferences\nList of Symbols\nIndex