nLab Geometric Algebra

This page is about the book by Artin. For discussion of Clifford algebra see at geometric algebra.

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• Emil Artin:

  
  

  Geometric Algebra

  
  

  Wiley 1957 (1988)

  
  

  ISBN:978-1-118-16454-9

  Wikipedia entry

  ark:/13960/t4nk37034

  MAA review

on classical Lie groups in a Klein geometry context.

Contents

Chapter I – Preliminary notions

• set theory

• vector spaces

• dual linear space

• bilinear form

• linear equations

• group, group theory

• field, ordered field

Chapter II – Affine and Projective Geometry

• projective geometry

• dilatation operator

• Desargues' theorem

Chapter III – Symplectic and Orthogonal Geometry

• inner product

• symplectic form

Chapter IV – The General Linear Group

• general linear group

Chapter V – The Structure of Symplectic and Orthogonal Groups

• symplectic group

• orthogonal group

• Clifford algebra

category: reference