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

TL;DR

This paper computes the invariants under the Weyl group action on the cohomology of the classifying space of the exceptional Lie group E6, focusing on mod 3 coefficients, advancing understanding of its algebraic topology.

Contribution

It provides the first detailed calculation of Weyl group invariants for E6's classifying space with mod 3 coefficients, revealing new algebraic structures.

Findings

Explicit description of Weyl group invariants for E6

Identification of algebraic relations among invariants

Enhanced understanding of E6's cohomological properties

Abstract

We calculate the Weyl group invariants with respect to a maximal torus of the exceptional Lie group $E_6$.