Generalized Symmetries in Physics

This volume contains material submitted to a symposium on mathematical physics in July 1993 at the Technical University of Clausthal.

It focuses on mathematical and physical notions of symmetries, especially on generalized and quantum symmetries (quantum groups and algebras) with applications to integrable systems, quasi-exact solvability, quantization methods and nonlinear problems.

The workshop is a continuation of the series of meetings and workshops on mathematical physics in Clausthal which brings together mathematicians, theoretical and mathematical physicists working in the different parts of generalized symmetries.

Recent developments in the mathematical structure and physical applications of generalized symmetries are discussed.Contents:Representations of Quantum Groups and Their Applications:A Graph Generalization of Quantum Groups (C Gómez & G Sierra)Cross Product Quantisation, Nonabelian Cohomology and Twisting of Hopf Algebras (S Majid)Miscellaneous Physical Applications of Quantum Algebras (M Kibler)Positive Energy Representations of Noncompact Quantum Algebras (V K Dobrev)Structure of Quantum Groups and Their Differential Calculi:From Classical to Quantum: The Question of Universality (P Truini)On Quantum Groups from the Quantization Point of View (B Jurčo)Quantum Poincaré Subgroup of q-Conformal Group and q-Minkowski Geometry (M Chaichian & A P Demichev)Bicovariant Differential Calculi on Quantum Groups An-1, Bn, Cn and Dn (K Schmüdgen & A Schüler)Symmetries and Integrability:The Yang-Baxter Symmetry in Field Theory (H J de Vega)Integrable and Algebraically Solvable Systems (H-D Doebner & A G Ushveridze)Integrable Systems in Higher Dimensions (D B Fairlie)Appell Functions and the Pöschl-Teller Potential (L Lapointe & L Vinet)Symmetries in Field Theory:Can Anomalies Melt? (H Grosse et al)Renormalization of Current Algebra (J Mickelsson)Subfactors and Coset Models (K-H Rehren)Mathematical Structures:Z3-Grading and Ternary Algebraic Structures (R Kerner)Poisson Lie Groups and Nonlinear Convexity Theorems (J Hilgert  K-H Neeb)Quantization on Homogeneous Compact Kähler Manifolds (D Bar-Moshe & M S Marinov)and other papersReadership: Mathematical physicists.