Titlebook: Integrable Systems, Quantum Groups, and Quantum Field Theories; L. A. Ibort,M. A. Rodríguez Book 1993 Springer Science+Business Media Dord

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1389-2185 mathematics. This book contains the lectures deliveredat the NATO-ASI Summer School on `Recent Problems in MathematicalPhysics‘ held at Salamanca, Spain (1992), offering a pedagogical andupdated approach to some of the problems that have been at the heartof these events. Among them, we should menti

Cumulus

Canonical Quantum Gravity and the Problem of Time,) approaches in which time is identified after quantising; and (III) approaches in which time plays no fundamental role at all. Ten different specific schemes are discussed in this paper which also contain an introduction to the relevant parts of the canonical decomposition of general relativity.

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Book 1993cs. This book contains the lectures deliveredat the NATO-ASI Summer School on `Recent Problems in MathematicalPhysics‘ held at Salamanca, Spain (1992), offering a pedagogical andupdated approach to some of the problems that have been at the heartof these events. Among them, we should mention the new

ascetic

q-Deformation of Semisimple and Non-Semisimple Lie Algebras,ns are discussed in some detail, in the Chevalley and the Cartan—Weyl basis. We review the real forms of . and . .(.). The general procedure is illustrated by the examples . .(.(2)) and . .(.(5, ?)). After some general considerations on non-semisimple Lie algebras, we discuss in detail the quantum d

concise

Lectures on Topological Quantum Field Theory, in its style and motivation. The subject of Topological Quantum Field Theory is young and developing rapidly in many directions. These lectures are not at all representative of this activity, but rather reflect particular interests of the author.

Abrupt

Canonical Quantum Gravity and the Problem of Time,ict between the way the concept of ‘time’ is used in quantum theory, and the role it plays in a diffeomorphism-invariant theory like general relativity. Schemes for resolving this problem can be sub-divided into three main categories: (I) approaches in which time is identified before quantising; (II

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