Noncommutative geometry and representation theory in mathematical physics : Satellite Conference to the Fourth European Congress of Mathematics, July 5-10, 2004, Karlstad University, Karlstad, Sweden / Jürgen Fuchs [and four others], editors
Published
Providence, Rhode Island : American Mathematical Society, [2005]
Contents -- Preface -- List of Participants -- Construction of graded differential algebra with ternary differential -- Calculation of the universal Drinfeld twist for quantum su(2) -- Thoughts on membranes, matrices and non-commutativity -- Stable quantum relativistic kinematics -- Cohomology of crossed algebras -- Kac-Moody algebras and the cde-triangle -- Discretized Virasoro algebra -- Multiplication formulae for the elliptic gamma function -- New approach to Hermitian q-differential operators on RNq -- Picard groups in rational conformal field theory
""On a class of representations of quantum groups""""Shapovalov forms for Poisson Lie superalgebras""; ""Triangular Poisson structures on Lie groups and symplectic reduction""; ""Vertex operator algebras, fusion rules and modular transformations""; ""Depth two and the Galois coring""; ""Examples of Peirce decomposition of generalized Jordan triple system of second order � Balanced cases""; ""Graded representations of graded Lie algebras and generalized representations of Jordan algebras""; ""Dynamical Yang-Baxter equation and quantization of certain Poisson brackets""
""Braiding for quantum gl2 at roots of unity""""Introduction""; ""1. Quantized Universal enveloping algebra of gl2""; ""2. The algebra U""; ""3. The algebra Uε""; ""4. Braiding for irreducible representations of Uε""; ""Appendix A.""; ""Appendix B.""; ""References""; ""Solving Baxter's TQ-equation via representation theory""; ""Noncommutative geometry and quantum field theory""; ""Conformal field theory and the solution of the (quantum) elliptic Calogero-Sutherland system""; ""Quasi-Lie algebras""; ""Time-space and space-times""; ""Â0. Introduction""
