# Noncommutative Geometry and Representation Theory in Mathematical Physics

### About this Title

**Jürgen Fuchs**, **Jouko Mickelsson**, **Grigori Rozenblioum**, **Alexander Stolin** and **Anders Westerberg**, Editors

Publication: Contemporary Mathematics

Publication Year
2005: Volume 391

ISBNs: 978-0-8218-3718-4 (print); 978-0-8218-7981-8 (online)

DOI: http://dx.doi.org/10.1090/conm/391

MathSciNet review: 2179064

### Table of Contents

**Front/Back Matter**

**Articles**

- Nadezda Bazunova – Construction of graded differential algebra with ternary differential [MR 2184005]
- Christian Blohmann – Calculation of the universal Drinfeld twist for quantum $\rm su(2)$ [MR 2184006]
- Martin Cederwall – Thoughts on membranes, matrices and non-commutativity [MR 2184007]
- Chryssomalis Chryssomalakos and Elias Okon – Stable quantum relativistic kinematics [MR 2184008]
- Alexei Davydov – Cohomology of crossed algebras [MR 2184009]
- Torsten Ekedahl – Kac-Moody algebras and the cde-triangle [MR 2184010]
- Ludwig D. Faddeev – Discretized Virasoro algebra [MR 2184011]
- Giovanni Felder and Alexander Varchenko – Multiplication formulae for the elliptic gamma function [MR 2184012]
- Gaetano Fiore – New approach to Hermitian $q$-differential operators on ${\Bbb R}^N_q$ [MR 2184013]
- Jürg Fröhlich, Jürgen Fuchs, Ingo Runkel and Christoph Schweigert – Picard groups in rational conformal field theory [MR 2184014]
- Anton Gerasimov, Sergey Kharchev, Dmitry Lebedev and Sergey Oblezin – On a class of representations of quantum groups [MR 2184015]
- Maria Gorelik and Vera Serganova – Shapovalov forms for Poisson Lie superalgebras [MR 2184016]
- Timothy J. Hodges and Milen Yakimov – Triangular Poisson structures on Lie groups and symplectic reduction [MR 2184017]
- Yi-Zhi Huang – Vertex operator algebras, fusion rules and modular transformations [MR 2184018]
- Lars Kadison – Depth two and the Galois coring [MR 2184019]
- Noriaki Kamiya – Examples of Peirce decomposition of generalized Jordan triple system of second order—balanced cases [MR 2184020]
- Issai Kantor and Gregory Shpiz – Graded representations of graded Lie algebras and generalized representations of Jordan algebras [MR 2184021]
- Eugene Karolinsky, Alexander Stolin and Vitaly Tarasov – Dynamical Yang-Baxter equation and quantization of certain Poisson brackets [MR 2184022]
- Rinat Kashaev and Nicolai Reshetikhin – Braiding for quantum ${\rm gl}_2$ at roots of unity [MR 2184023]
- Christian Korff – Solving Baxter’s $TQ$-equation via representation theory [MR 2184024]
- Petr P. Kulish – Noncommutative geometry and quantum field theory [MR 2184025]
- Edwin Langmann – Conformal field theory and the solution of the (quantum) elliptic Calogero-Sutherland system [MR 2184026]
- Daniel Larsson and Sergei D. Silvestrov – Quasi-Lie algebras [MR 2184027]
- Olav Arnfinn Laudal – Time-space and space-times [MR 2184028]
- Jerzy Lukierski and Vladimir D. Lyakhovsky – Two-parameter extensions of the $\kappa $-Poincaré quantum deformation [MR 2184029]
- Vladimir E. Nazaikinskii, Anton Yu. Savin, Bert-Wolfgang Schulze and Boris Yu. Sternin – The index problem on manifolds with edges [MR 2184030]
- Daniil Proskurin, Yuriĭ Savchuk and Lyudmila Turowska – On $C^*$-algebras generated by some deformations of CAR relations [MR 2184031]
- Oleg K. Sheinman – Krichever-Novikov algebras and their representations [MR 2184032]
- Sergey D. Sinel′shchikov and Leonid Vaksman – Quantum groups and bounded symmetric domains [MR 2184033]
- Daniel Sternheimer – Quantization is deformation [MR 2184034]
- Kornél Szlachányi – Monoidal Morita equivalence [MR 2184035]
- Valeriy N. Tolstoy – Fortieth anniversary of extremal projector method for Lie symmetries [MR 2184036]