Spinors, Twistors, Clifford Algebras and Quantum Deformations
Springer (Verlag)
978-0-7923-2251-1 (ISBN)
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.
Erscheint lt. Verlag | 31.7.1993 |
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Reihe/Serie | Fundamental Theories of Physics ; 52 |
Zusatzinfo | XXV, 430 p. |
Verlagsort | Dordrecht |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika | |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
ISBN-10 | 0-7923-2251-7 / 0792322517 |
ISBN-13 | 978-0-7923-2251-1 / 9780792322511 |
Zustand | Neuware |
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