nLab
E6

Context

Group Theory

\infty-Lie theory

∞-Lie theory

Background

Smooth structure

Higher groupoids

Lie theory

∞-Lie groupoids

∞-Lie algebroids

Formal Lie groupoids

Cohomology

Homotopy

Examples

\infty-Lie groupoids

\infty-Lie groups

\infty-Lie algebroids

\infty-Lie algebras

Contents

Idea

One of the exceptional Lie groups.

References

A description of E 6(26)E_{6(-26)} as the special linear group in dimension 3 with values in the octonions is given in

  • Tevian Dray, Corinne A. Manogue, Octonions and the Structure of E 6E_6 Comment. Math. Univ. Carolin., 51:193–207, 2010.

  • Aaron Wangberg, Tevian Dray, E 6E_6, the Group: The structure of SL(3,𝕆)SL(3,\mathbb{O}) (arXiv:1212.3182)

Cohomological properties are discussed in

  • Mamoru Mimura, Yuriko Sambe, Michishige Tezuka, Cohomology mod 3 of the classifying space of the exceptional Lie group E 6E_6, I : structure of Cotor (arXiv:1112.5811),

    Cohomology mod 3 of the classifying space of the exceptional Lie group E 6E_6, II : The Weyl group invariants (arXiv:1201.3414)

See also

Revised on December 14, 2012 17:54:53 by Urs Schreiber (71.195.68.239)