Description

Book Synopsis
This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics.

Table of Contents
Introduction; The Octahedral Group; The Octahedral Double Group; The McKay Correspondence; Lie Groups and Lie Algebras; Coxeter's Reflection Groups; Thom-Arnold Catastrophe Structures; ALE Spaces and Gravitational Instantons; Knots and Links and Braids; Twistors and ALE Spaces; 2-Dimensional Conformal Field Theories; Elliptic Curves and the Monster Group; Sphere Packing and Error-Correction Codes; Qubits and Black Holes; The Holographic Principle; Calabi-Yau Spaces; Heisenberg Algebras; Summary and Outlook; Glossary; References and Bibliography;

Adex Theory: How The Ade Coxeter Graphs Unify

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    A Hardback by Saul-paul Sirag

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 11 April 2016
      ISBN-13 9789814656498
      978-9814656498
      ISBN-10 9814656496

      Description

      Book Synopsis
      This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics.

      Table of Contents
      Introduction; The Octahedral Group; The Octahedral Double Group; The McKay Correspondence; Lie Groups and Lie Algebras; Coxeter's Reflection Groups; Thom-Arnold Catastrophe Structures; ALE Spaces and Gravitational Instantons; Knots and Links and Braids; Twistors and ALE Spaces; 2-Dimensional Conformal Field Theories; Elliptic Curves and the Monster Group; Sphere Packing and Error-Correction Codes; Qubits and Black Holes; The Holographic Principle; Calabi-Yau Spaces; Heisenberg Algebras; Summary and Outlook; Glossary; References and Bibliography;

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