Quantum Groups

Table of Contents

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   Book Overview
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   Chapter 39 Introduction to quantum groups
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   Chapter 40 Mathematical guide to quantum groups
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   Chapter 41 A q-boson realization of the quantum group SU q (2) and the theory of q-tensor operators
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   Chapter 42 Polynomial basis for SU (2) q and Clebsch-Gordan coefficients
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   Chapter 43 U q ( sl (2)) Invariant operators and reduced polynomial identities
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   Chapter 44 Classification and characters of U q (sl(3, C ))representations
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   Chapter 45 Extremal projectors for quantized kac-moody superalgebras and some of their applications
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   Chapter 46 Yang-Baxter algebras, integrable theories and Betre Ansatz
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    Chapter 47 Yang-Baxter algebra — Bethe Ansatz — conformal quantum field theories — quantum groups
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    Chapter 48 Classical Yang-Baxter equations and quantum integrable systems (Gaudin models)
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    Chapter 49 Quantum groups as symmetries of chiral conformal algebras
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    Chapter 50 Comments on rational conformal field theory, quantum groups and tower of algebras
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    Chapter 51 Chern-Simons field theory and quantum groups
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    Chapter 52 Quantum symmetry associated with braid group statistics
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    Chapter 53 Sum rules for spins in (2 + 1)-dimensional quantum field theory
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    Chapter 54 Anomalies from the phenomenological and geometrical points of view
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    Chapter 55 KMS states, cyclic cohomology and supersymmetry
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    Chapter 56 Gauge theories based on a non-commutative geometry
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    Chapter 57 Algebras symmetries spaces