Quantum Groups and Related Topics - (Mathematics and Its Applications) by R Gielerak & J Lukierski & Z Popowicz (Hardcover)

Book Synopsis

Section I: Quantum Groups. 1. Sugawara Construction and the Q-Deformation of Virasoro Algebra; M. Chaichian, P. Presnajder. 2. Complex Quantum Groups and Their Dual Hopf Algebras; B. Drabant, M. Schlieker, W. Weich, B. Zumino. 3. Extremal Projector and Universal R-matrix for Quantized Contragredient Lie (Super)Algebras; S.M. Khoroshkin, V.N. Tolstoy. 4. Quantum Deformations of D=4 Poincaré Algebra; J. Lukierski, A. Nowicki. 5. `Quantum Group' Structure and `Covariant' Differential Calculus on Symmetric Algebras Corresponding to Commutation Factors on Zn; R. Matthes. 6. Remarks on the Use of R-Matrices; A. Schirrmacher. 7. Construction of Some Hopf Algebras; E. Sorace. 8. Realifications of Complex Quantum Groups; S. Zakrzewski. Section II: Non Commutative Differential Geometry. 1. On Multigraded Differential Calculus; A. Borowiec, W. Marcinek, Z. Oziewicz. 2. Yang Mills Fields and Symmetry Breaking: From Lie Super-Algebras to Non Commutative Geometry; R. Coquereaux. 3. Differential and Integral Calculus on the Quantum C-Plane; J. Rembielinski. Section III: Integrable Systems. 1. Rigorous Approach to Abelian Chern-Simons Theory; S. Albeverio, J. Schäfer. 2. The Conformal Block Structure of Perturbation Theory in Two Dimensions; R. Flume. 3. An Alternative Dynamical Description of Quantum Systems; B. Fuchssteiner. 4. On the Solutions of the Yang-Baxter Equations; L. Hlavatý. 5. State Sum Invariants of Compact 3-Manifolds with Boundaryand 6j-Symbols; M. Karowski, W. Müller, R. Schrader. Section IV: Miscellaneous. 1. Product of States; K. Fredenhagen. 2. Quantum Measurements and Information Theory; K.-E. Hellwig. 3. A Comment on a 3-Dimensional Euclidean Supersymmetry; J. Łopuszánski. 4. Chiral Nets and Modular Methods; B. Schroer. 5. Chiral Symmetry Breaking -- Rigorous Results; M. Salmhofer, E. Seiler. 6. On a Twister Shift in Particle and String Dynamics; V.A. Soroka, D.P. Sorokin, V.I. Tkach, D.V. Volkov. 7. The Metric of Bures and the Heometric Phase; A. Uhlmann.