The Spinorial Chessboard

1. Front Matter

   Pages I-VIII

   PDF

2. Introduction

   • Paolo Budinich, Andrzej Trautman

   Pages 1-15

3. Notation and Terminology

   • Paolo Budinich, Andrzej Trautman

   Pages 16-22

4. Vector Spaces and Inner Products

   • Paolo Budinich, Andrzej Trautman

   Pages 23-36

5. Algebras and their Representations

   • Paolo Budinich, Andrzej Trautman

   Pages 37-53

6. General Properties of Clifford Algebras

   • Paolo Budinich, Andrzej Trautman

   Pages 54-70

7. Complex Clifford Algebras

   • Paolo Budinich, Andrzej Trautman

   Pages 71-83

8. Real Clifford Algebras

   • Paolo Budinich, Andrzej Trautman

   Pages 84-122

9. Back Matter

   Pages 123-128

   PDF

Spinor theory is an important tool in mathematical physics in particular in the context of conformal field theory and string theory. These lecture notes present a new way to introduce spinors by exploiting their intimate relationship to Clifford algebras. The presentation is detailed and mathematically rigorous. Not only students but also researchers will welcome this book for the clarity of its style and for the straightforward way it applies mathematical concepts to physical theory.

• algebra
• automorphism
• clifford algebra
• conformal field theory
• field
• field theory
• mathematical physics
• physics
• string theory

• International School for Advanced Studies, Trieste, Italy

  Paolo Budinich

• Instytut Fizyki Teoretycznej, Uniwersytet Warszawkski, Warszawa, Poland

  Andrzej Trautman

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