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The Table of the Structure Constants for the Complex Simple Lie Algebra of Type E_6 and Chevalley Commutator Formulas in the Chevalley Group of Type E_6 over a Field

Anna I. Polovinkina, Sergey G. Kolesnikov

Abstract

This article is the third in the series. It is devoted the calculation of the structure constants for the complex simple Lie algebra of type E_6 and Chevalley commutator formulas.

The Table of the Structure Constants for the Complex Simple Lie Algebra of Type E_6 and Chevalley Commutator Formulas in the Chevalley Group of Type E_6 over a Field

Abstract

This article is the third in the series. It is devoted the calculation of the structure constants for the complex simple Lie algebra of type E_6 and Chevalley commutator formulas.
Paper Structure (9 sections, 1622 equations)

This paper contains 9 sections, 1622 equations.

Table of Contents

  1. General case
  2. Information about the Root System of Type $E_6$
  3. Calculation of Structure Constants
  4. Chevalley's Commutator Formulas
  5. List of Formulas
  6. Special Case
  7. The Table of the Structure Constant
  8. List of Formulas
  9. Graphs, Matrices, Tables