Spinors, Twistors, Clifford Algebras and Quantum Deformations

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

AvAndrzej Borowiec,Bernard Jancewicz

Inbunden, Engelska, 1993

Del i serien Fundamental Theories of Physics

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Beskrivning

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 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.

Produktinformation

Utgivningsdatum:1993-07-31
Mått:155 x 235 x 30 mm
Vikt:852 g
Format:Inbunden
Språk:Engelska
Serie:Fundamental Theories of Physics
Antal sidor:430
Upplaga:1993
Förlag:Kluwer Academic Publishers
ISBN:9780792322511

Utforska kategorier

Innehållsförteckning

Spinors.- Structure of matrix manifolds and a particle model.- Complex stuctures and the Elie Cartan approach to the theory of spinors.- Spin structures on hypersurfaces and the spectrum of the Dirac operator on spheres.- Algebraic construction of spin structures on homogeneous spaces.- The Kummer configuration and the geometry of Majorana spinors.- Pauli-Kofink identities and pure spinors.- General covariance and spinors.- Tensored division algebras: origin of geometry, spinors and symmetry.- G-Structure for hypermanifolds.- Towards a unification of “everything” with gravity.- Generalized Fierz identitites and the superselection rule for geometric multispinors.- Electrons, photons and spinors in the Pauli algebra.- Twistors.- Twistors and supersymmetry.- A twistor-like description of D=10 superstrings and D=11 supermembranes.- Born’s reciprocity in the conformal domain.- Self-dual Einstein supermanifolds and supertwistor theory.- An approach to the construction of coherent states for massless particles.- Clifford Algebras.- What is a bivector ?.- Monogenic forms on manifolds.- On invertibility of the Clifford algebra elements with disjoint supports.- Clifford algebras and algebraic structure of fundamental fermions.- Clifford algebra of two-forms, conformal structures and field equations.- Dirac form of Maxwell equation; ?n-graded algebras.- Travelling waves within the Clifford algebra.- Hamiltonian mechanics with geometric calculus.- Grassmann mechanics, multivector derivatives and geometric algebra.- Intrinsic non-invariant forms of Dirac equation.- 2-spinors, twistors and supersymmetry in the space-time algebra.- Quantum Deformations.- Quantized Minkowski space.- D = 4 Quantum Poincaré algebra and finite difference time derivative.- Quantum Lorentz groupand q-deformed Clifford algebra.- Isotropic q- Lorentz group.- Lorentz algebra and twists.- On a noncommutative extension of electrodynamics.- Bicovariant differential calculus and q-deformation of gauge theory.- Cyclic paragrassmann representations for covariant quantum algebras.- Hecke symmetries and braided Lie algebras.- Anyonic quantum groups.- On S-Lie-Cartan pairs.- New real forms of Uq(G).- Related Topics.- ?3-graded structures.- On Jordan block form.- Unified theory of spin and angular momentum.- Noetherian symmetries in particle mechanics and classical field theory.- Liénard-Wiechert Yang-Mills fields.- The twist prescription in the topological Yang-Mills theory.- On symmetry properties of classical Lagrange functions under rotations.- Tunnelling of neutral particle with spin 1/2 through magnetic field.- List of participants.