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Groups and Related Topics : Proceedings of the First Max Born Symposium

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概要 In the seventies and eighties, scientific collaboration between the Theory Section of the Physics Department of Leipzig University and the Institute of Theoretical Physics of the University of Wroolaw... was established. This manifested itself, among other things, in the organization of regular, twice-yearly seminars located alternatively in Wrodaw and Leipzig. These Seminars in Theoretical Physics took place 27 times, the last during November 1990. In order to continue the traditions of German-Polish contacts in theoretical physics, we decided to start a new series of Seminars in Theoretical Physics and name them after the outstanding German theoretical physicist Max Born who was born in 1883 in Wrodaw. We hope that these seminars will continue to contribute to better scientific contacts and understanding between German and Polish theoretical physicists. The First Max Born Symposium was held in Wojnowice Castle, 20 km west of Wrodaw, 27 - 29 September 1991. Wojnowice Castle was built in the 16th century by the noble Boner family, in the Renaissance style, and has been recently adapted as a small conference center. The preferred subjects at the Symposium were Quantum Groups and Integrable Models. The Symposium was organized by Doctors R. Gielerak and Z. Popowicz under the scientific supervision of the undersigned.続きを見る
目次 Section I Quantum Groups
Sugawara Construction and the Q-Deformation of Virasoro Algebra
Complex Quantum Groups and Their Dual Hopf Algebras
Extremal Projector and Universal R-matrix for Quantized Contragredient Lie (super)algebras
Quantum Defonnations of D = 4 Poincaré Algebra
'Quantum Group' Structure and 'Covariant' Differential Calculus on Symmetric Algebras Corresponding to Commutation Factors on Zn
Remarks on the Use of R-matrices
Construction of Some Hopf Algebras
Realifications of Complex Quantum Groups
Section II Non Commutative Differential Geometry
On Multigraded Differential Calculus
Yang Mills Fields and Symmetry Breaking: From Lie Super-Algebras to Non Commutative Geometry
Differential and Integral Calculus on the Quantum C-Plane
Section III Integrable Systems
Rigorous Approach to Abelian Chern-Simons Theory
The Conformal Block Structure of Perturbation Theory in Two Dimensions
An Alternative Dynamical Description of Quantum Systems
On the Solutions of the Yang-Baxter Equations
State Sum Invariants of Compact 3-Manifolds with Boundary and 6j-symbols
Section IV Miscellaneous
Product of States
Quantum Measurements and Information Theory
A Comment on a 3-Dimensional Euclidean Supersymmetry
Chiral Nets and Modular Methods
Chiral Symmetry Breaking - Rigorous Results
On a Twistor Shift in Particle and String Dynamics
The Metric of Bures and the Geometric Phase.
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登録日 2020.06.27
更新日 2020.06.28