عنوان

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

9401117195

9789401117197

b594903

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

[Book]

Borowiec, Andrzej

Springer Verlag

2013

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 Poincare algebra and finite difference time derivative.- Quantum Lorentz group and 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.- Lienard-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.

Borowiec, Andrzej

Borowiec, Andrzej

Jancewicz, Bernard

Oziewicz, Zbigniew

[Book]

Y