ADEX Theory

How the ADE Coxeter Graphs Unify Mathematics and Physics

Nonfiction, Science & Nature, Mathematics, Topology, Algebra
Cover of the book ADEX Theory by Saul-Paul Sirag, World Scientific Publishing Company
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Author: Saul-Paul Sirag ISBN: 9789814656511
Publisher: World Scientific Publishing Company Publication: January 25, 2016
Imprint: WSPC Language: English
Author: Saul-Paul Sirag
ISBN: 9789814656511
Publisher: World Scientific Publishing Company
Publication: January 25, 2016
Imprint: WSPC
Language: English

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.

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
  • Two-Dimensional Conformal Field Theories
  • Elliptic Curves and the Monster Group
  • Sphere Packing and Error-Correcting Codes
  • Qubits and Black Holes
  • The Holographic Principle
  • Calabi–Yau Spaces and Mirror Symmetry
  • Heisenberg Algebras
  • Summary and Outlook
  • Bibliography
  • Glossary
  • Index

Readership: Researchers in mathematical physics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

Contents:

Readership: Researchers in mathematical physics.

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