On the Kazhdan–Lusztig cells in type $E_8$
On the Kazhdan–Lusztig cells in type $E_8$
In 1979, Kazhdan and Lusztig introduced the notion of âcellsâ (left, right and two-sided) for a Coxeter group $W$, a concept with numerous applications in Lie theory and around. Here, we address algorithmic aspects of this theory for finite $W$ which are important in applications, e.g., run explicitly through all …