Basic Concepts

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


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.


Quadratic Form Bilinear Form Local Ring Hyperbolic Space Hyperbolic Plane 
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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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