Ebook: Clifford Algebras and their Applications in Mathematical Physics: Proceedings of Second Workshop held at Montpellier, France, 1989

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 Mário 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.

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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.

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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.

Content:
Front Matter....Pages i-x
Front Matter....Pages 1-1
Mathematical Viruses....Pages 3-16
Front Matter....Pages 17-17
Clifford groups for arbitrary quadratic forms....Pages 19-26
Clifford algebra calculations with a microcomputer....Pages 27-32
Clifford algebras and M?bius transformations....Pages 33-38
Alg?bres de Clifford sur un Corps de Caract?ristique 2....Pages 39-55
Real projective representations of real Clifford algebras and reflection groups....Pages 57-63
Parallel treatment of Riemannian and Symplectic Clifford algebras....Pages 65-68
On the classification of Clifford algebras as quadratic spaces in the case where the dimension is infinite and the base field has characteristic 2....Pages 69-82
On the kernel and image of the spin representation....Pages 83-95
Finite geometries and Clifford algebras III....Pages 97-111
Generalized Clifford algebras and their representations....Pages 113-116
Algebraic spin structures....Pages 117-119
Clifford algebras and torogonal structures....Pages 121-132
The idempotent structure of an infinite dimensional Clifford algebra....Pages 133-141
On spinor classifications....Pages 143-149
Front Matter....Pages 151-160
HP spaces of monogenic functions....Pages 161-164
Twistor correspondence in higher even dimensions....Pages 165-174
Front Matter....Pages 175-175
A Gram-Schmidt method in Hilbert modules....Pages 177-188
The relative position of L2 domains in Clifford Analysis....Pages 189-192
A note on generalized Rademacher and hyperbolic functions....Pages 175-175
Fueter-Hurwitz Regular mappings and an integral representation....Pages 193-203
Spin-gauge unification of integrable non linear systems....Pages 205-214
On the linearization of a partial differential operator and p-hyperholomorphic functions....Pages 215-219
Algebres de Clifford-Hilbert et operateurs de Vertex....Pages 221-237
Singular integral operators in Clifford Analysis....Pages 239-247
Simplicial calculus with Geometric Algebra....Pages 249-254
Clifford Analysis and Integral Geometry....Pages 255-270
Fundamental solutions for operators which are polynomials in the Dirac operator....Pages 271-277
On eigenvalue estimates of nonlinear Stokes eigenvalue problems....Pages 279-292
Front Matter....Pages 293-311
Gauge field equation on principal fibre bundle. A Clifford Algebra formulation....Pages 313-326
Les Algebres de Clifford et les transformations des multivecteurs. L’Algebre de Clifford de R(1,3) et la constante de Planck....Pages 327-333
Theorie relativiste du nucleon et du doublet ?....Pages 335-335
Unified spin gauge theories of the four fundamental forces....Pages 337-341
The geometric structure of the space of fermionic physical observables....Pages 343-352
Supergravity, supersymmetry: a geometric unitary spinor theory....Pages 353-361
Fermions as special states of bosons....Pages 363-370
Harmonic coordinates and the electromagnetic field....Pages 371-385
Front Matter....Pages 387-404
Clifford Analysis and systems of condensed phase....Pages 405-411
The multivector structure of the matter and interaction field theories....Pages 413-424
The normed maps ?11 ? ?11 ? ?26 in Hypercomplex Analysis and in Physics....Pages 335-335
On Dirac and Dirac-Darwin-Hestenes Equations....Pages 425-436
Geometrical content of the Fierz identities....Pages 437-445
Front Matter....Pages 447-461
Notice biographique sur M?rio Schenberg....Pages 463-477
Algebraic Structures of Finite Point Sets I....Pages 479-497
Back Matter....Pages 499-499
....Pages 501-503