These papers are from the Third International Workshop on Lie Theory and its Applications in Physics, held in Germany in 1999. Topics covered include: representation theory - functional-analytic methods; algebraic constructions; applications to physical systems - quantum systems; and more.
Representation theory - functional-analytic methods: small weight modules of locally finite almost reductive Lie algebras, K.-H. Neeb; the c-function for a semisimple symmetric space, G. Olafsson. Algebraic constructions: non-standard invariant operators for quaternionic geometries, J. Slovak; from vector spaces to symmetric spaces, W. Bertram. Applications to physical systems - quantum systems: quantum integrable systems and special functions, A.M. Perelomov; on the index of equivariant Toeplitz operators, U. Bunke. Special models: a geometric construction of the dual wave function of the n-component KP-hierarchy, G.F. Helminck and J.W. van de Leur; elements of a global operator approach to Wess-Zumino-Nokikov-Witten models, M. Schlichenmaier; bundles of chiral blocks and boundary conditions in CFT, J. Fuchs and C. Schweigert. Quantum groups and related objects: elliptic algebras and double Yangians -deformed structures, D. Arnaudon; q-multilinear algebra, A. Isaev et al. Computational symmetry analysis: MathLie, a computer algebra program for symmetry analysis, G. Baumann. (Part contents)