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Index a Lie Borel Lie Algebra

Toukaiddine Petit

Abstract

We compute the index of a Lie Borel Lie Algbra of a simple Lie algebra.

Index a Lie Borel Lie Algebra

Abstract

We compute the index of a Lie Borel Lie Algbra of a simple Lie algebra.
Paper Structure (4 sections, 16 theorems, 18 equations)

This paper contains 4 sections, 16 theorems, 18 equations.

Table of Contents

  1. Introduction
  2. Maximal set of Srongly Orthogonal Roots
  3. Index of Borel Lie Algebras
  4. Theorem of Richardson

Key Result

Proposition 1

If $\Delta$ is irrecducible (i.e $\mathfrak{g}$ is simple Lie Algebra), then

Theorems & Definitions (20)

  • Proposition 1
  • Definition 1
  • Proposition 2
  • Proposition 3
  • Theorem 1
  • Proposition 4
  • Proposition 5
  • Proposition 6
  • Proposition 7
  • Theorem 2
  • ...and 10 more