Spinors, Twistors and Clifford Algebras: Proceedings of the Second Max Born Syposium Held Near Wroclaw, Poland, September, 1992
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...
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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 Z3-graded algebras. For researchers and graduate students in mathematical and theoretical physics.
ForewordPhotograph of Professor Jan RzewuskiHomage to Professor Jan RzewuskiHomage to Professor Jan RzewuskiPhotograph of participantsStructure of matrix manifolds and a particle model3Complex structures and the Elie Cartan approach to the theory of spinors17Spin structures on hypersurfaces and the spectrum of the Dirac operator on spheres25Algebraic construction of spin structures on homogeneous spaces31The Kummer configuration and the geometry of Majorana spinors39Pauli-Kofink identities and pure spinors53General covariance and spinors61Tensored division algebras: origin of geometry, spinors and symmetry67G-Structure for hypermanifolds75Towards a unification of "everything" with gravity81Generalized Fierz identities and the superselection rule for geometric multispinors91Electrons, photons and spinors in the Pauli algebra97Twistors and supersymmetry109A twistor-like description of D=10 superstrings and D=11 supermembranes121Born's reciprocity in the conformal domain129Self-dual Einstein supermanifolds and supertwistor theory141An approach to the construction of coherent states for massless particles147What is a bivector ?153Monogenic forms on manifolds159On invertibility of the Clifford algebra elements with disjoint supports167Clifford algebras and algebraic structure of fundamental fermions171Clifford algebra of two-forms, conformal structures and field equations183Dirac form of Maxwell equation; Z[subscript n]-graded algebras189Travelling waves within the Clifford algebra197Hamiltonian mechanics with geometric calculus203Grassmann mechanics, multivector derivatives and geometric algebra215Intrinsic non-invariant forms of Dirac equation2272-spinors, twistors and supersymmetry in the space-time algebra233Quantized Minkowski space249D = 4 Quantum Poincare algebra and finite difference time derivative257Quantum Lorentz group and q-deformed Clifford algebra267Isotropic q-Lorentz group277Lorentz algebra and twists281On a noncommutative extension of electrodynamics285Bicovariant differential calculus and q-deformation of gauge theory299Cyclic paragrassmann representations for covariant quantum algebras309Hecke symmetries and braided Lie algebras317Anyonic quantum groups327On S-Lie-Cartan pairs337New real forms of U[subscript q](G)343Z[subscript 3]-graded structures349On Jordan block form357Unified theory of spin and angular momentum365Noetherian symmetries in particle mechanics and classical field theory371Lienard-Wiechert Yang-Mills fields379The twist prescription in the topological Yang-Mills theory391On symmetry properties of classical Lagrange functions under rotations403Tunnelling of neutral particle with spin 1/2 through magnetic field413List of participants421
