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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 /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: European Congress of Mathematics
Otros Autores: Fuchs, Jürgen, 1957 May 19- (Editor )
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2005]
Colección:Contemporary mathematics (American Mathematical Society) ; v. 391.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 â€? 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""
  • ""Â1. A very elementary world â€? the moduli space of an observer and an observed""""Â2. The corresponding cosmological model""; ""Â3. Moduli spaces of representations of associative algebras""; ""Â4. Time, what is it?""; ""Two-parameter extensions of the k-Poincaré quantum deformation""; ""The index problem on manifolds with edges""; ""On C*-algebras generated by some deformations of CAR relations""; ""Krichever-Novikov algebras and their representations""; ""Quantum groups and bounded symmetric domains""; ""Quantization is deformation""; ""Monoidal Morita equivalence""