Clifford Algebras and their Applications in Mathematical Physics [Paperback]

This volume contains selected papers presented at the Second Workshop on Clifford Algebras and their Applications in Mathematical Physics. These papers range from various algebraic and analytic aspects of Clifford algebras to applications in, for example, gauge fields, relativity theory, supersymmetry and supergravity, and condensed phase physics. Included is a biography and list of publications of M?rio Schenberg, who, next to Marcel Riesz, has made valuable contributions to these topics.
This volume will be of interest to mathematicians working in the fields of algebra, geometry or special functions, to physicists working on quantum mechanics or supersymmetry, and to historians of mathematical physics.
Proceedings of the Second Workshop held at Montpellier, France, 1989General Survey.- Mathematical Viruses.- Clifford Algebras and Related Topics.- Algebraic spinors for R9,1.- Tetrahedral structure of idempotents of the Clifford algebra C3,1.- Clifford groups for arbitrary quadratic forms.- Clifford algebra calculations with a microcomputer.- Clifford algebras and M?bius transformations.- Alg?bres de Clifford sur un Corps de Caract?ristique 2.- Real projective representations of real Clifford algebras and reflection groups.- Parallel treatment of Riemannian and Symplectic Clifford algebras.- Classification, properties and applications of the Majorana representations of the real Clifford algebras Cp, q.- On the classification of Clifford algebras as quadratic spaces in the case where the dimension is infinite and the base field has characteristic 2.- On the kernel and image of the spin representation.- Finite geometries and Clifford algebras III.- Generalized Clifford algebras and their representations.- Algebraic spin structures.- Clifford algebras and torogonal structures.- The idempotent structure of an infinite dimensional Clifford algebra.- On spinor classifications.- Clifford Analysis.- HP spaces of monogenic functions.- TwistlC|