Lie groups

Lie groups: new research

by Canterra, Altos B.

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Title Statements

  • Full title :Lie groups : new research / Altos B. Canterra, editor.

Edition Statements

  • Publication Date:2009

Publication Statements

The Physical Object

  • Description:1 online resource.

Edition Identifiers

  • ISBN:9781616681647, 1616681640
  • oclc:ocn693781079
  • LC Classification:QA387
  • Dewey Decimal:512/.482

Table of Contents

LIE GROUPS: NEW RESEARCH; LIE GROUPS: NEW RESEARCH; CONTENTS; PREFACE ; LIE GROUP GUIDE TO THE UNIVERSE; Introduction; The Clifford Algebra Cl3,0 of Euclidean 3-Space; New Review of Angular Momentum Algebra; Quantum Spacetime; The CNC Duality in Quantum Geometry; Lie Groups in Clifford Quantum Geometry; Maximal Cartan Subalgebra in Lp, q; The Sakata Model; The Spacetime Algebra Cl3,1 and its Lie group L3,1; The Spacetime Lie Algebra L(2); Pure Space and Constitutive Group; Pure space of Clifford Algebra Cl3,1; Some SU(3) History; The Spacetime Oscillator; The Spacetime Color Degree of Freedom.

CPT and Spacetime Area OscillationOut of the Light . . .; Into the Dark; Towards a New Concept of Motion: Appendix A; Relativity Revisited: Appendix B; References; ROTATION MANIFOLD SO(3) AND ITS TANGENTIALVECTORS; Abstract; 1. Introduction; 2. Manifolds and Their Tangents; 3. Rotation Manifold and Its Tangents; 4. Angular Velocities, Accelerations Vectors; 5. Euler's Equations; 6. Simplified Newmark Integration Scheme; 7. Interpolation of the Rotation Field and Its Objectivity; Conclusions; Acknowledgements; References; ASYMPTOTIC HOMOLOGY OF THE QUOTIENT OF PSL2(R) BY A MODULAR GROUP.

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