group theory

∞-Lie theory

# Contents

## Idea

One of the exceptional Lie groups.

• G2, F4,

E6, E7, E8, E9, E10, E11, $\cdots$

## References

A description of $E_{6(-26)}$ 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 $E_6$ Comment. Math. Univ. Carolin., 51:193–207, 2010.

• Aaron Wangberg, Tevian Dray, $E_6$, the Group: The structure of $SL(3,\mathbb{O})$ (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 $E_6$, I : structure of Cotor (arXiv:1112.5811),

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