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

By: R. Gielerak (Editor), J. Lukierski (Editor), Z. Popowicz (Editor)

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This volume presents the lectures given by distinguished contributors at the First German-Polish Max Born Symposium, held at Wojnowice in Poland in September, 1991. This is the first such symposium to continue the tradition of a German-Polish collaboration in theoretical physics in the form of biannual seminars organized between the Universities of Leipzig and Wroclaw since the early seventies. The papers in this volume are devoted to quantum group theory, noncommutative differential geometry, and integrable systems. Particular emphasis is given to the formalism of noncommutative geometry on quantum groups, the quantum deformation of Poincaré algebra and the axiomatic approach to superselection rules. Possible relations between noncommutative geometry and particle physics models are also considered. For researchers and postgraduate students of theoretical and mathematical physics.

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Non-Fiction Science Physics Mathematical Physics Mathematics Geometry Differential & Riemannian Geometry Science in General Maths for Scientists

Quantum Groups	p. 1
Sugawara Construction and the Q-Deformation of Virasoro Algebra	p. 3
Complex Quantum Groups and Their Dual Hopf Algebras	p. 13
Extremal Projector and Universal R-matrix for Quantized Contragredient Lie (super)algebras	p. 23
Quantum Deformations of D = 4 Poincare Algebra	p. 33
"Quantum Group" Structure and "Covariant" Differential Calculus on Symmetric Algebras Corresponding to Commutation Factors on Z[superscript n]	p. 45
Remarks on the Use of R-matrices	p. 55
Construction of Some Hopf Algebras	p. 67
Realifications of Complex Quantum Groups	p. 83
Non Commutative Differential Geometry	p. 101
On Multigraded Differential Calculus	p. 103
Yang Mills Fields and Symmetry Breaking: From Lie Super-Algebras to Non Commutative Geometry	p. 115
Differential and Integral Calculus on the Quantum C-Plane	p. 129
Integrable Systems	p. 141
Rigorous Approach to Abelian Chern-Simons Theory	p. 143
The Conformal Block Structure of Perturbation Theory in Two Dimensions	p. 153
An Alternative Dynamical Description of Quantum Systems	p. 165
On the Solutions of the Yang-Baxter Equations	p. 179
State Sum Invariants of Compact 3-Manifolds with Boundary and 6j-symbols	p. 189
Miscellaneous	p. 197
Product of States	p. 199
Quantum Measurements and Information Theory	p. 211
A Comment on a 3-Dimensional Euclidean Supersymmetry	p. 223
Chiral Nets and Modular Methods	p. 233
Chiral Symmetry Breaking - Rigorous Results	p. 247
On a Twistor Shift in Particle and String Dynamics	p. 259
The Metric of Bures and the Geometric Phase	p. 267
Table of Contents provided by Blackwell. All Rights Reserved.

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

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