| 내용 |
1. Noncompact Lie groups, their algebras and some of their applications -- Lie Groups and Lie Algebras -- 2. Harish-Chandra?�s c-function. A mathematical jewel -- 3. Basic harmonic analysis on pseudo-Riemannian symmetric spaces -- 4. The extensions of space-time. Physics in the 8-dimensional homogeneous space D = SU(2, 2)/K -- 5. Ordinary ??and momentum ??space conformai compactifications: Some possible observable consequences -- 6. Radon transform on halfplanes via group theory -- 7. Analytic torsion and automorphic forms -- 8. Diffusion on compact ultrametric spaces -- 9. Generalized square integrability and coherent states -- 10. Maximal abelian subgroups of SU(p, q) and integrable Hamiltonian systems -- 11. Path integrals and Lie groups -- 12. Representations of diffeomorphism groups and the infinite symmetric group -- 13. Characters of Lie groups -- 14. Weyl group actions on Lagrangian cycles and Rossmann?�s formula -- 15. Taylor formula, tensor products, and unitarizability -- 16. A connection between Lie algebra roots and weights and the Fock space construction -- 17. Applications of Sp(3,R) in nuclear physics -- 18. Nilpotent groups and anharmonic oscillators -- 19. Extensions of the mass O helicity O representation of the Poincare group -- 20. Invariant causal propagators in conformai space -- 21. Gauge groups, anomalies and non-abelian cohomology -- 22. The E8 family of quasicrystals -- 23. Wavelet interpolation and approximate solutions of elliptic partial differential equations -- Lie Superalgebras and Lie Supergroups -- 24. From super Lie algebras to supergroups: Matrix realizations and the factorisation problem -- 25. Current algebras as Hilbert space operator cocycles -- 26. Non-linear realization technique ??The most convenient way of deriving N = 1 supergravity -- 27. Toda systems as constrained linear systems -- Quantum Groups -- 28. On the definitions of the quantum group Uh(sl(2, k)) and the restricted dual of Uh(sl(n, k)) -- 29. Universal T-matrix for twisted quantum gl(N) -- 30. Unitary representations of quantum Lorentz group -- 31. Contraction of quantum groups and lattice physics -- 32. A quantum Poincar챕 group and the Dirac-Coulomb problem.
|
