Titlebook: Quadratic and Hermitian Forms; Winfried Scharlau Book 1985 Springer-Verlag Berlin Heidelberg 1985 Abstract algebra.Impress.arithmetic.boun

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Clifford Algebras, is of fundamental importance in the algebraic theory of quadratic forms. In particular, the invariants . introduced in chapter 2 find a natural interpretation here. Many properties of these invariants are obvious in the context of Clifford algebras. Moreover, it is easy to include the case of chara

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Hermitian Forms over Global Fields,hapter these results correspond roughly to the basic results of chapter 1 about quadratic forms. Though the fundamentals of both theories — quadratic forms and hermitian forms — are quite similar, the two have grown in different directions. In particular, there does not exist an algebraic theory of

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0072-7830 e great number theorists of the eighteenth and nineteenth century was concerned with problems about quadratic forms. On the basis of their work, Minkowski, Siegel, Hasse, Eichler and many others crea- ted the impressive "arithmetic" theory of quadratic forms, which has been the object of the well-kn

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Symmetric Bilinear Forms over Dedekind Rings and Global Fields,gs of integers is developed in detail in several books, especially O’Meara [1963] (to be referred to by OM). However, in the last few years several interesting results have been added to this theory. These new results, particularly those concerning the calculation of the Witt group are emphasized in this chapter.

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Simple Algebras and Involutions,ny interesting connections between the theory of quadratic and hermitian forms on the one hand and the theory of simple algebras and involutions on the other. We want to mention the most important ones, though not all will be pursued in this book:.And most basically:

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