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An Introduction to Non-Abelian Class Field Theory

representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abelian Galois extension of number fields;

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Non-Abelian Fundamental Groups And Iwasawa Theory

to the late 19th century, when many different special reciprocity laws of abelian class field theory were formulated before knowledge of the;

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Introduction to Quantum Field Theory

of particle physics and condensed matter research. This graduate level textbook provides a comprehensive introduction to quantum field theory, giving;

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Quantum Field Theory In Condensed Matter Physics

thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory;

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Complex Multiplication and Lifting Problems

abelian varieties over finite fields, and deformation theory. This book provides an ideal illustration of how modern techniques in arithmetic;

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Automorphic Forms

In this work we give an introduction to automorphic forms in string theory by examining a well-known case in ten-dimensional Type IIB;

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Introduction to Modern Number Theory

theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian;

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Introduction To Modern Number Theory Fun

theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian;

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Cambridge Monographs on Mathematical Physics

implications for understanding basic dynamical regularities of nonsupersymmetric theories. After an extended introduction on the theory of critical;

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Gauge Fields and Strings

, continuous global symmetry, non-Abelian gauge fields, instantons and the quantum theory of loops, and quantum strings and random surfaces.;

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Relativistic Quantum Field Theory, Volume 2

non-relativistic quantum mechanics and then, using this as a basis, extends the formalism to quantum fields with an infinite number of degrees;

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Relativistic Quantum Field Theory, Volume 2

non-relativistic quantum mechanics and then, using this as a basis, extends the formalism to quantum fields with an infinite number of degrees;

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Abelian Groups

of abelian groups, while remaining accessible, as an introduction and reference, to the non-specialist. It provides a coherent source for results;

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Classical And Quantum Electrodynamics And The B(3) Field

well as builds a framework on which linear and nonlinear optics are treated as a non-Abelian gauge field theory based on the emergence of the;

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London Mathematical Society Lecture Note Series

manifolds needed for application to geometry and number theory, although they do not contain an exposition of either application. Some geometrical;

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Modern Quantum Field Theory

techniques of field theory. Covering Feynman diagrams and path integrals, the author emphasizes the path integral approach, the Wilsonian approach to;

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On the Class Number of Abelian Number Fields

abelian number fields with conductor up to 100. The text provides systematic and practical methods for deriving class number formulas;

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Path Integral Methods in Quantum Field Theory

This is a concise graduate level introduction to analytical functional methods in quantum field theory. Functional integral methods provide;

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Periodic Locally Compact Groups

, and the introduction, classifi cation and use of inductively monothetic groups. The second part develops a general structure theory;

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Elementary and Analytic Theory of Algebraic Numbers

This book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage;

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Cambridge Lecture Notes in Physics

This book provides a concrete introduction to quantum fields on a lattice: a precise and non-perturbative definition of quantum field;

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Lectures On Quantum Field Theory

personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis of the;

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Lectures On Quantum Field Theory

personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis of the;

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Theta Functions And Knots

learn how the two are related. Those interested in ChernSimons theory will find here an introduction using the simplest case, that of abelian;

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Operator Theory

determinants, and the study of unbounded self-adjoint operators. There is also an introduction to the theory of orthogonal polynomials and a long;

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Abelian Varieties

results about abelian varieties. It includes expositions of analytic methods applicable over the ground field of complex numbers, as well as;

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The Pinch Technique and Its Applications to Non-Abelian Gauge Theories

Non-Abelian gauge theories, such as quantum chromodynamics (QCD) or electroweak theory, are best studied with the aid of Green's functions;

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