Contemporary Mathematics 2005; 384 pp; softcover Volume: 391 ISBN10: 0821837184 ISBN13: 9780821837184 List Price: US$109 Member Price: US$87.20 Order Code: CONM/391
 Mathematics provides a language in which to formulate the laws that govern nature. It is a language proven to be both powerful and effective. In the quest for a deeper understanding of the fundamental laws of physics, one is led to theories that are increasingly difficult to put to the test. In recent years, many novel questions have emerged in mathematical physics, particularly in quantum field theory. Indeed, several areas of mathematics have lately become increasingly influential in physics and, in turn, have become influenced by developments in physics. Over the last two decades, interactions between mathematicians and physicists have increased enormously and have resulted in a fruitful crossfertilization of the two communities. This volume contains the plenary talks from the international symposium on Noncommutative Geometry and Representation Theory in Mathematical Physics held at Karlstad University (Sweden) as a satellite conference to the Fourth European Congress of Mathematics. The scope of the volume is large and its content is relevant to various scientific communities interested in noncommutative geometry and representation theory. It offers a comprehensive view of the state of affairs for these two branches of mathematical physics. The book is suitable for graduate students and researchers interested in mathematical physics. Readership Graduate students and research mathematicians interested in mathematical physics. Table of Contents  N. Bazunova  Construction of graded differential algebra with ternary differential
 C. Blohmann  Calculation of the universal Drinfeld twist for quantum su(2)
 M. Cederwall  Thoughts on membranes, matrices and noncommutativity
 C. Chryssomalakos and E. Okon  Stable quantum relativistic kinematics
 A. Davydov  Cohomology of crossed algebras
 T. Ekedahl  KacMoody algebras and the cdetriangle
 L. D. Faddeev  Discretized Virasoro algebra
 G. Felder and A. Varchenko  Multiplication formulae for the elliptic gamma function
 G. Fiore  New approach to Hermitian \(q\)differential operators on \(\mathbb{R}^N_q\)
 J. Fröhlich, J. Fuchs, I. Runkel, and C. Schweigert  Picard groups in rational conformal field theory
 A. Gerasimov, S. Kharchev, D. Lebedev, and S. Oblezin  On a class of representations of quantum groups
 M. Gorelik and V. Serganova  Shapovalov forms for Poisson Lie superalgebras
 T. J. Hodges and M. Yakimov  Triangular Poisson structures on Lie groups and symplectic reduction
 Y.Z. Huang  Vertex operator algebras, fusion rules and modular transformations
 L. Kadison  Depth two and the Galois coring
 N. Kamiya  Examples of Peirce decomposition of generalized Jordan triple system of second orderBalanced cases
 I. Kantor and G. Shpiz  Graded representations of graded Lie algebras and generalized representations of Jordan algebras
 E. Karolinsky, A. Stolin, and V. Tarasov  Dynamical YangBaxter equation and quantization of certain Poisson brackets
 R. Kashaev and N. Reshetikhin  Braiding for quantum \(gl_2\) at roots of unity
 C. Korff  Solving Baxter's TQequation via representation theory
 P. P. Kulish  Noncommutative geometry and quantum field theory
 E. Langmann  Conformal field theory and the solution of the (quantum) elliptic CalogeroSutherland system
 D. Larsson and S. D. Silvestrov  QuasiLie algebras
 O. A. Laudal  Timespace and spacetimes
 J. Lukierski and V. D. Lyakhovsky  Twoparameter extension of the \(\kappa\)Poincaré quantum deformation
 V. E. Nazaikinskii, A. Y. Savin, B.W. Schulze, and B. Y. Sternin  The index problem on manifolds with edges
 D. Proskurin, Y. Savchuk, and L. Turowska  On \(C^*\)algebras generated by some deformations of CAR relations
 O. K. Sheinman  KricheverNovikov algebras and their representations
 S. D. Sinel'shchikov and L. Vaksman  Quantum groups and bounded symmetric domains
 D. Sternheimer  Quantization is deformation
 K. Szlachányi  Monoidal Morita equivalence
 V. N. Tolstoy  Fortieth anniversary of extremal projector method for Lie symmetries
