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Spinors, Twistors, Clifford Algebras and Quantum Deformations : Proceedings of the Second Max Born Symposium Held Near Wroclaw, Poland, September 1992 - Andrzej Borowiec

Spinors, Twistors, Clifford Algebras and Quantum Deformations

Proceedings of the Second Max Born Symposium Held Near Wroclaw, Poland, September 1992

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

Hardcover Published: 31st July 1993
ISBN: 9780792322511
Number Of Pages: 430

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This volume contains the lectures given at the Second Max Born Symposium held near Wroclaw in Poland in September 1992. The various authoritative contributions provide an excellent review of recent developments in the field and embrace the following topics: spin structures; the interrelations between Cartan's and Chevalley's theory of spinors, Clifford algebras and particle models; the interrelations between twistors, supersymmetry and phase spaces; quantum deformations; noncommutative Hopf algebras; noncommutative calculus and its applications in electrodynamics and in gauge theory; and deformed Clifford algebras and "Z"3-graded algebras. For researchers and graduate students in mathematical and theoretical physics.

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 modelp. 3
Complex structures and the Elie Cartan approach to the theory of spinorsp. 17
Spin structures on hypersurfaces and the spectrum of the Dirac operator on spheresp. 25
Algebraic construction of spin structures on homogeneous spacesp. 31
The Kummer configuration and the geometry of Majorana spinorsp. 39
Pauli-Kofink identities and pure spinorsp. 53
General covariance and spinorsp. 61
Tensored division algebras: origin of geometry, spinors and symmetryp. 67
G-Structure for hypermanifoldsp. 75
Towards a unification of "everything" with gravityp. 81
Generalized Fierz identities and the superselection rule for geometric multispinorsp. 91
Electrons, photons and spinors in the Pauli algebrap. 97
Twistors and supersymmetryp. 109
A twistor-like description of D=10 superstrings and D=11 supermembranesp. 121
Born's reciprocity in the conformal domainp. 129
Self-dual Einstein supermanifolds and supertwistor theoryp. 141
An approach to the construction of coherent states for massless particlesp. 147
What is a bivector ?p. 153
Monogenic forms on manifoldsp. 159
On invertibility of the Clifford algebra elements with disjoint supportsp. 167
Clifford algebras and algebraic structure of fundamental fermionsp. 171
Clifford algebra of two-forms, conformal structures and field equationsp. 183
Dirac form of Maxwell equation; Z[subscript n]-graded algebrasp. 189
Travelling waves within the Clifford algebrap. 197
Hamiltonian mechanics with geometric calculusp. 203
Grassmann mechanics, multivector derivatives and geometric algebrap. 215
Intrinsic non-invariant forms of Dirac equationp. 227
2-spinors, twistors and supersymmetry in the space-time algebrap. 233
Quantized Minkowski spacep. 249
D = 4 Quantum Poincare algebra and finite difference time derivativep. 257
Quantum Lorentz group and q-deformed Clifford algebrap. 267
Isotropic q-Lorentz groupp. 277
Lorentz algebra and twistsp. 281
On a noncommutative extension of electrodynamicsp. 285
Bicovariant differential calculus and q-deformation of gauge theoryp. 299
Cyclic paragrassmann representations for covariant quantum algebrasp. 309
Hecke symmetries and braided Lie algebrasp. 317
Anyonic quantum groupsp. 327
On S-Lie-Cartan pairsp. 337
New real forms of U[subscript q](G)p. 343
Z[subscript 3]-graded structuresp. 349
On Jordan block formp. 357
Unified theory of spin and angular momentump. 365
Noetherian symmetries in particle mechanics and classical field theoryp. 371
Lienard-Wiechert Yang-Mills fieldsp. 379
The twist prescription in the topological Yang-Mills theoryp. 391
On symmetry properties of classical Lagrange functions under rotationsp. 403
Tunnelling of neutral particle with spin 1/2 through magnetic fieldp. 413
List of participantsp. 421
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792322511
ISBN-10: 0792322517
Series: Advances in Underwater Technology, Ocean Science and Offshore Engineering
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 430
Published: 31st July 1993
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.54
Weight (kg): 0.82

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