On the Left Connected Subalgebra of the Descent Algebra of a Coxeter Group of Classical Type

Linus Hellebrandt, Götz Pfeiffer

A Coxeter group of classical type $A_n$, $B_n$ or $D_n$ contains a chain of subgroups of the same type. We show that intersections of conjugates of these subgroups are again of the…