A Mathematical Introduction to Conformal Field Theory

Author: Martin Schottenloher

Publisher: Springer Science & Business Media

ISBN: 3540686258

Category: Science

Page: 249

View: 4519

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The first part of this book gives a self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The second part surveys some more advanced topics of conformal field theory.
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Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups

Author: Ludwig Pittner

Publisher: Springer Science & Business Media

ISBN: 3540478019

Category: Science

Page: 469

View: 5472

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Quantum groups and quantum algebras as well as non-commutative differential geometry are important in mathematics and considered to be useful tools for model building in statistical and quantum physics. This book, addressing scientists and postgraduates, contains a detailed and rather complete presentation of the algebraic framework. Introductory chapters deal with background material such as Lie and Hopf superalgebras, Lie super-bialgebras, or formal power series. Great care was taken to present a reliable collection of formulae and to unify the notation, making this volume a useful work of reference for mathematicians and mathematical physicists.
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Applied Functional Analysis

Main Principles and Their Applications

Author: Eberhard Zeidler

Publisher: Springer Science & Business Media

ISBN: 1461208211

Category: Mathematics

Page: 406

View: 8954

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The second part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, and their substantial applications. The book addresses undergraduates and beginning graduates of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world and which play an important role in the history of mathematics. The books approach is to attempt to determine the most important applications. These concern integral equations, differential equations, bifurcation theory, the moment problem, Cebysev approximation, the optimal control of rockets, game theory, symmetries and conservation laws, the quark model, and gauge theory in elementary particle physics. The presentation is self-contained and requires only that readers be familiar with some basic facts of calculus.
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