Noncompact Lie Groups and Some of Their Applications

1. Noncompact Lie groups, their algebras and some of their applications; E.A. Tanner, R. Wilson. Lie Groups and Lie Algebras. 2. Harish-Chandra's c-function. A mathematical jewel; S. Helgason. 3. Basic harmonic analysis on pseudo-Riemannian symmetric spaces; E. Van Den Ban, M. Flensted-Jensen, H. Schlichtkrull. 4. The extensions of space-time. Physics in the 8-dimensional homogeneous space D = SU(2,2)/K; O.A. Barut. 5. Ordinary- and momentum-space conformal compactifications: Some possible observable consequences. 6. Radon transform on halfplanes via group theory; J. Hilgert. 7. Analytic torsion and automorphic forms; B. Speh. 8. Diffusion on compact ultrametric spaces; A. Figa-Talamanca. 9. Generalized square integrability and coherent states; J.-P. Antoine. 10. Maximal abelian subgroups of SU(p,q) and integrable Hamiltonian systems; P. Winternitz, M.A. del Olmo, M.A. Rodriguez. 11. Path integrals and Lie groups; A. Inomata, G. Junker. 12. Representations of diffeomorphism groups and the infinite symmetric group; T. Hirai. 13. Characters of Lie groups; M. Anoussis. 14. Weyl group actions on Lagrangian cycles and Rossmann's formula; W. Schmid, K. Vilonen. 15. Taylor formula, tensor products, and unitarizability; E. Angelopoulos. 16. A connection between Lie algebra roots and weights and the Fock space construction; G.W. Mackey. 17. Applications of Sp(3,R) in nuclear physics; D.J. Rowe. 18. Nilpotent groups and anharmonic oscillators; W.H. Klink. 19. Extensions of the mass 0 helicity 0 representation of the Poincare group; C.H. Conley. 20. Invariant causal propagators in conformal space; W.F. Heidenreich. 21. Gauge groups, anomalies and non-abelian cohomology; F.R. Streater. 22. The E8 family of quasicrystals; R.V. Moody, J. Patera. 23. Wavelet interpolation and approximate solutions of elliptic partial differential equations; R.O. Wells, Jr., X. Zhou. Lie Superalgebras and Lie Supergroups. 24. From super Lie algebras to supergroups: Matrix realizations the factorisation problem; V. Hussin, L.M. Nieto. 25. Current algebras as Hilbert space operator cocycles; J. Mickelsson. 26. Nonlinear realization technique - the most convenient way of deriving N = 1 supergravity; J. Niederle. 27. Toda systems as constrained linear systems; L. O'Raifeartaigh. Quantum Groups. 28. On the definitions of the quantum group Uh(sl(2,k)) and the restricted dual of Uh(sln,k)); A. Guichardet. 29. Universal T-matrix for twisted quantum gl(N); C. Fronsdal.