Research Catalog

Title

Spinors, twistors, Clifford algebras, and quantum deformations / edited by Zbigniew Oziewicz, Bernard Jancewicz, and Andrzej Borowiec.

Publication

Dordrecht ; Boston : Kluwer Academic Publishers, [1993], ©1993.

Items in the Library & Off-site

Details

Additional Authors

• Oziewicz, Zbigniew.
• Jancewicz, Bernard.
• Borowiec, Andrzej, 1950-

Description

xxii, 430 pages : illustrations; 25 cm.

Series Statement

Fundamental theories of physics ; v. 52

Uniform Title

Fundamental theories of physics ; v. 52.

Subjects

• Rzewuski, Jan, 1916-
• Spinor analysis > Congresses
• Clifford algebras > Congresses
• Twistor theory > Congresses
• Mathematical physics > Congresses

Contents

• Foreword / Zbigniew Oziewicz -- Homage to Professor Jan Rzewuski / Jan Lopuszanski -- Homage to Professor Jan Rzewuski / Jan Mozrzymas -- Structure of matrix manifolds and a particle model / Jan Rzewuski -- Complex structures and the Elie Cartan approach to the theory of spinors / Michel Dubois-Violette -- Spin structures on hypersurfaces and the spectrum of the Dirac operator on spheres / Andrzej Trautman -- Algebraic construction of spin structures on homogeneous spaces / Vladimir Lyakhovsky -- The Kummer configuration and the geometry of Majorana spinors / Gary W. Gibbons -- Pauli-Kofink identities and pure spinors / Helmut Urbantke -- General covariance and spinors / Ludwik Dabrowski -- Tensored division algebras: origin of geometry, spinors and symmetry / Geoffrey Dixon -- G-Structure for hypermanifolds / Andrzej Borowiec -- Towards a unification of "everything" with gravity / Jerzy Rayski.
• Generalized Fierz identities and the superselection rule for geometric multispinors / William M. Pezzaglia, Jr. -- Electrons, photons and spinors in the Pauli algebra / William Baylis -- Twistors and supersymmetry / Dmitrij Volkov -- A twistor-like description of D=10 superstrings and D=11 supermembranes / Igor Bandos and Aleksandr Zheltukhin -- Born's reciprocity in the conformal domain / Arkadiusz Jadczyk -- Self-dual Einstein supermanifolds and supertwistor theory / Sergey Merkulov -- An approach to the construction of coherent states for massless particles / Andrzej Karpio -- What is a bivector ? / Pertti Lounesto -- Monogenic forms on manifolds / Vladimir Soucek -- On invertibility of the Clifford algebra elements with disjoint supports / Pavel Semenov -- Clifford algebras and algebraic structure of fundamental fermions / Wojciech Krolikowski -- Clifford algebra of two-forms, conformal structures and field equations / Ingemar Bengtsson.
• Dirac form of Maxwell equation; Z[subscript n]-graded algebras / Jaime Keller -- Travelling waves within the Clifford algebra / Bernard Jancewicz -- Hamiltonian mechanics with geometric calculus / David Hestenes -- Grassmann mechanics, multivector derivatives and geometric algebra / Chris Doran, Anthony Lasenby and Steve Gull -- Intrinsic non-invariant forms of Dirac equation / Josep Manel Parra -- 2-spinors, twistors and supersymmetry in the space-time algebra / Anthony Laseby, Chris Doran and Steve Gull -- Quantized Minkowski space / Julius Wess, Bruno Zumino, Oleg Ogievetsky and W. B. Schmidke -- D = 4 Quantum Poincare algebra and finite difference time derivative / Jerzy Lukierski, Anatol Nowicki and Henri Ruegg -- Quantum Lorentz group and q-deformed Clifford algebra / Ursula Carow-Watamura -- Isotropic q-Lorentz group / Jakub Rembielinski -- Lorentz algebra and twists / Ralf Engeldinger, Michael Schlieker and Wolfgang Weich -- On a noncommutative extension of electrodynamics / John Madore.
• Bicovariant differential calculus and q-deformation of gauge theory / Satoshi Watamura -- Cyclic paragrassmann representations for covariant quantum algebras / Alexey Isaev -- Hecke symmetries and braided Lie algebras / Dmitri Gurevich -- Anyonic quantum groups / Shahn Majid -- On S-Lie-Cartan pairs / Wladyslaw Marcinek -- New real forms of U[subscript q](G) / Jan Sobczyk -- Z[subscript 3]-graded structures / Richard Kerner -- On Jordan block form / Garret Sobczyk -- Unified theory of spin and angular momentum / Leopold Halpern -- Noetherian symmetries in particle mechanics and classical field theory / Dan Grigore -- Lienard-Wiechert Yang-Mills fields / K. Paul Tod -- The twist prescription in the topological Yang-Mills theory / Sorin Marculescu -- On symmetry properties of classical Lagrange functions under rotations / Peter Stichel and Jan Lopuszanski -- Tunnelling of neutral particle with spin 1/2 through magnetic field / Mijat Mijatovic, G. Ivanovski, B. Veljanoski and G. Apostolovska.

ISBN

0792322517 (acid-free paper)

LCCN

93007413

OCLC

• 502481713
• ocn502481713

Owning Institutions

Columbia University Libraries