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Basic Concepts

  • Winfried Scharlau
Chapter
  • 859 Downloads
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 270)

Abstract

In this chapter we introduce the basic concepts which will occupy us in the first part of this book: quadratic forms and symmetric bilinear forms over fields of characteristic unequal to 2. The reader who already knows these basic concepts can immediately start with chapter 2. The assumption on the characteristic of the ground field is superfluous in places. However, its use will enable us to avoid a series of inconvenient case distinctions and special considerations for characteristic 2.

Keywords

Quadratic Form Bilinear Form Local Ring Hyperbolic Space Hyperbolic Plane 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Winfried Scharlau
    • 1
  1. 1.Mathematisches InstitutUniversität MünsterMünsterGermany

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