Conformal Groups and Related Symmetries Physical Results and Mathematical Background: Proceedings of a Symposium Held at the Arnold Sommerfeld Institute for Mathematical Physics (ASI) Technical University of Clausthal, Germany August 12–14, 1985

From Heisenberg algebra to conformal dynamical group....Pages 3-21
 $$\overline {SL}$$ (4,R) dynamical symmetry for hadrons....Pages 22-33
A new quantum relativistic oscillator and the hadron mass spectrum....Pages 34-41
Path integral realization of a dynamical group....Pages 42-47
Polynomial identities associated with dynamical symmetries....Pages 48-62
De — sitter representations and the particle concept, studied in an ur-theoretical cosmological model....Pages 63-76
The structure of local algebras in quantum field theory....Pages 79-90
Does supergravity allow a positive cosmological constant....Pages 91-100
Photons and gravitons in conformal field theory....Pages 101-110
On conformally covariant energy momentum tensor and vacuum solutions....Pages 111-120
The holonomy operator in Yang-Mills theory....Pages 121-132
Conformal geodesics....Pages 135-137
Second order conformal structures....Pages 138-151
The conformal structure of Einstein's field equations....Pages 152-161
Nonrelativistic conformal symetries and Bargmann structures....Pages 162-182
Wave equations for conformal multispinors....Pages 185-194
Global conformal transformations of spinor fields....Pages 195-204
Pure spinors for conformal extensions of space-time....Pages 205-215
Complex Clifford analysis over the Lie ball....Pages 216-224
Plancherel theorem for the universal cover of the conformal group....Pages 227-243
Harmonic analysis on rank one symmetric spaces....Pages 244-252
A spin-off from highest weight representations; conformal covariants, in particular for 0(3,2)....Pages 253-265
Tensor calculus in enveloping algebras....Pages 266-279
Representations of the Lorentz Algebra on the space of its universal enveloping algebra....Pages 280-290
Reducible representations of the extended conformal superalgebra and invariant differential operators....Pages 291-299
All positive energy unitary irreducible representations of the extended conformal superalgebra....Pages 300-308
The two-dimensional quantum conformal group, strings and lattices....Pages 311-327
Finite-size scaling and irreducible representations of virasoro algebras....Pages 328-344
Unitarizable highest weight representations of the Virasoro, Neveu-Schwarz and Ramond algebras....Pages 345-371
Structure of Kac-Moody groups....Pages 372-378
Infinite dimensional lie algebras connected with the four-dimensional laplace operator....Pages 379-386
Infinite dimensional lie algebras in conformal QFT models....Pages 387-443