Ebook: Spinors, Twistors, Clifford Algebras and Quantum Deformations: Proceedings of the Second Max Born Symposium held near Wrocław, Poland, September 1992

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.

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Content:
Front Matter....Pages i-xxv
Front Matter....Pages 1-1
Structure of Matrix Manifolds and a Particle Model....Pages 3-16
Complex Structures and the Elie Cartan Approach to the Theory of Spinors....Pages 17-23
Spin Structures on Hypersurfaces and the Spectrum of the Dirac Operator on Spheres....Pages 25-29
Algebraic Construction of Spin Structures on Homogeneous Spaces....Pages 31-38
The Kummer Configuration and the Geometry of Majorana Spinors....Pages 39-52
Pauli-Kofink Identities and Pure Spinors....Pages 53-60
General Covariance and Spinors....Pages 61-65
Tensored Division Algebras: Origin of Geometry, Spinors and Symmetry....Pages 67-74
Towards a Unification of ”Everything” with Gravity....Pages 75-79
Generalized Fierz Identities and the Superselection Rule for Geometric Multispinors....Pages 81-89
Electrons, Photons, and Spinors in the Pauli Algebra....Pages 91-96
Front Matter....Pages 97-106
Twistors and Supersymmetry....Pages 107-107
A Twistor-Like Description of D = 10 Superstrings and D = 11 Supermembranes....Pages 109-119
Born’s Reciprocity in the Conformal Domain....Pages 121-127
Self-Dual Einstein Supermanifolds and Supertwistor Theory....Pages 129-140
An Approach to the Construction of Coherent States for Massless Particles....Pages 141-146
Front Matter....Pages 147-150
What is a Bivector?....Pages 151-151
Monogenic Forms on Manifolds....Pages 153-158
On Invertibility of Clifford Algebras Elements with Disjoint Supports....Pages 159-166
Front Matter....Pages 167-169
Clifford Algebras and Algebraic Structure of Fundamental Fermions....Pages 151-151
Clifford Algebra of Two-Forms, Conformal Structures, and Field Equations....Pages 171-181
Travelling Waves within the Clifford Algebra....Pages 183-188
Hamiltonian Mechanics with Geometric Calculus....Pages 189-196
Grassmann Mechanics, Multivector Derivatives and Geometric Algebra....Pages 197-201
Intrinsic Non-Invariant Forms of Dirac Equation....Pages 203-214
2-Spinors, Twistors and Supersymmetry in the Spacetime Algebras....Pages 215-226
Front Matter....Pages 227-232
Quantized Minkowski Space....Pages 233-245
D = 4 Quantum Poincar? Algebras and Finite Difference Time Derivatives....Pages 247-247
Quantum Lorentz Group and q-Deformed Clifford Algebra....Pages 249-256
Isotropic q-Lorentz Group....Pages 257-266
Lorentz Algebra and Twists....Pages 267-276
On a Noncommutative Extension of Electrodynamics....Pages 277-279
Bicovariant Differential Calculus and q-Deformation of Gauge Theory....Pages 281-284
Cyclic Paragrassmann Representations for Covariant Quantum Algebras....Pages 285-298
Hecke Symmetries and Braided Lie Algebras....Pages 299-308
Anyonic Quantum Groups....Pages 309-316
On S-Lie-Cartan Pairs....Pages 317-326
Front Matter....Pages 327-336
Jordan Form in Associative Algebras....Pages 337-342
Unified Theory of Spin and Angular Momentum....Pages 343-346
Noetherian Symmetries in Particle Mechanics and Classical Field Theory....Pages 347-347
Li?nard-Wiechert Yang-Mills Fields....Pages 349-356
The Twist Prescription in the Topological Yang-Mills Theory....Pages 357-364
On Symmetry Properties of Certain Classical Lagrange Functions under Rotations....Pages 365-370
Tunnelling of Neutral Particle with Spin 1/2 through Magnetic Field....Pages 371-377
Back Matter....Pages 379-389
....Pages 391-401