Spinors, Twistors, Clifford Algebras and Quantum Deformations

1. Front Matter

   Pages i-xxv

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2. Spinors

   1. Front Matter

      Pages 1-1

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   2. Structure of Matrix Manifolds and a Particle Model

      • Jan Rzewuski

      Pages 3-16

   3. Complex Structures and the Elie Cartan Approach to the Theory of Spinors

      • Michel Dubois-Violette

      Pages 17-23

   4. Spin Structures on Hypersurfaces and the Spectrum of the Dirac Operator on Spheres

      • Andrzej Trautman

      Pages 25-29

   5. Algebraic Construction of Spin Structures on Homogeneous Spaces

      • Vladimir Lyakhovsky

      Pages 31-38

   6. The Kummer Configuration and the Geometry of Majorana Spinors

      • Gary W. Gibbons

      Pages 39-52

   7. Pauli-Kofink Identities and Pure Spinors

      • Helmut Urbantke

      Pages 53-60

   8. General Covariance and Spinors

      • Ludwik Dabrowski

      Pages 61-65

   9. Tensored Division Algebras: Origin of Geometry, Spinors and Symmetry

      • Geoffrey Dixon

      Pages 67-74

   10. G — Structure for Hypermanifold

       • Andrzej Borowiec

       Pages 75-79

   11. Towards a Unification of ”Everything” with Gravity

       • Jerzy Rayski

       Pages 81-89

   12. Generalized Fierz Identities and the Superselection Rule for Geometric Multispinors

       • William M. Pezzaglia Jr.

       Pages 91-96

   13. Electrons, Photons, and Spinors in the Pauli Algebra

       • William E. Baylis

       Pages 97-106

3. Twistors

   1. Front Matter

      Pages 107-107

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   2. Twistors and Supersymmetry

      • Dmitrij Volkov

      Pages 109-119

   3. A Twistor-Like Description of D = 10 Superstrings and D = 11 Supermembranes

      • Igor Bandos, Aleksandr Zheltukhin

      Pages 121-127

   4. Born’s Reciprocity in the Conformal Domain

      • Arkadiusz Jadczyk

      Pages 129-140

   5. Self-Dual Einstein Supermanifolds and Supertwistor Theory

      • Sergey A. Merkulov

      Pages 141-146

   6. An Approach to the Construction of Coherent States for Massless Particles

      • Andrzej Karpio

      Pages 147-150

ZBIGNIEW OZIEWICZ University of Wroclaw, Poland December 1992 The First Max Born Symposium in Theoretical and Mathematical Phy­ sics, organized by the University of Wrodaw, was held in September 1991 with the intent that it would become an annual event. It is the outgrowth of the annual Seminars organized jointly since 1972 with the University of Leipzig. The name of the Symposia was proposed by Professor Jan Lopu­ szanski. Max Born, an outstanding German theoretical physicist, was born in 1883 in Breslau (the German name of Wrodaw) and educated here. The Second Max Born Symposium was held during the four days 24- 27 September 1992 in an old Sobotka Castle 30 km west of Wrodaw. The Sobotka Castle was built in the eleventh century. The dates engraved on the walls of the Castle are 1024, 1140, and at the last rebuilding, 1885. The castle served as a cloister until the end of the sixteenth century.

• Albert Einstein
• Algebraic structure
• Gauge theory
• Minkowski space
• Theoretical physics
• electrodynamics
• mechanics

• Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

  Zbigniew Oziewicz, Bernard Jancewicz, Andrzej Borowiec

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