Spinors, Twistors, Clifford Algebras and Quantum Deformations

Proceedings of the Second Max Born Symposium held near WrocÅaw, Poland, September 1992

By: Andrzej Borowiec (Editor), Bernard Jancewicz (Editor), Zbigniew Oziewicz (Editor)

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Hardcover | 31 July 1993

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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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Published: 13th October 2012

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Foreword
Photograph of Professor Jan Rzewuski
Homage to Professor Jan Rzewuski
Homage to Professor Jan Rzewuski
Photograph of participants
Structure of matrix manifolds and a particle model	p. 3
Complex structures and the Elie Cartan approach to the theory of spinors	p. 17
Spin structures on hypersurfaces and the spectrum of the Dirac operator on spheres	p. 25
Algebraic construction of spin structures on homogeneous spaces	p. 31
The Kummer configuration and the geometry of Majorana spinors	p. 39
Pauli-Kofink identities and pure spinors	p. 53
General covariance and spinors	p. 61
Tensored division algebras: origin of geometry, spinors and symmetry	p. 67
G-Structure for hypermanifolds	p. 75
Towards a unification of "everything" with gravity	p. 81
Generalized Fierz identities and the superselection rule for geometric multispinors	p. 91
Electrons, photons and spinors in the Pauli algebra	p. 97
Twistors and supersymmetry	p. 109
A twistor-like description of D=10 superstrings and D=11 supermembranes	p. 121
Born's reciprocity in the conformal domain	p. 129
Self-dual Einstein supermanifolds and supertwistor theory	p. 141
An approach to the construction of coherent states for massless particles	p. 147
What is a bivector ?	p. 153
Monogenic forms on manifolds	p. 159
On invertibility of the Clifford algebra elements with disjoint supports	p. 167
Clifford algebras and algebraic structure of fundamental fermions	p. 171
Clifford algebra of two-forms, conformal structures and field equations	p. 183
Dirac form of Maxwell equation; Z[subscript n]-graded algebras	p. 189
Travelling waves within the Clifford algebra	p. 197
Hamiltonian mechanics with geometric calculus	p. 203
Grassmann mechanics, multivector derivatives and geometric algebra	p. 215
Intrinsic non-invariant forms of Dirac equation	p. 227
2-spinors, twistors and supersymmetry in the space-time algebra	p. 233
Quantized Minkowski space	p. 249
D = 4 Quantum Poincare algebra and finite difference time derivative	p. 257
Quantum Lorentz group and q-deformed Clifford algebra	p. 267
Isotropic q-Lorentz group	p. 277
Lorentz algebra and twists	p. 281
On a noncommutative extension of electrodynamics	p. 285
Bicovariant differential calculus and q-deformation of gauge theory	p. 299
Cyclic paragrassmann representations for covariant quantum algebras	p. 309
Hecke symmetries and braided Lie algebras	p. 317
Anyonic quantum groups	p. 327
On S-Lie-Cartan pairs	p. 337
New real forms of U[subscript q](G)	p. 343
Z[subscript 3]-graded structures	p. 349
On Jordan block form	p. 357
Unified theory of spin and angular momentum	p. 365
Noetherian symmetries in particle mechanics and classical field theory	p. 371
Lienard-Wiechert Yang-Mills fields	p. 379
The twist prescription in the topological Yang-Mills theory	p. 391
On symmetry properties of classical Lagrange functions under rotations	p. 403
Tunnelling of neutral particle with spin 1/2 through magnetic field	p. 413
List of participants	p. 421
Table of Contents provided by Blackwell. All Rights Reserved.

Spinors, Twistors, Clifford Algebras and Quantum Deformations

Proceedings of the Second Max Born Symposium held near WrocÅaw, Poland, September 1992

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