On the Descent Algebra of Type $D$

Abstract

Here we give a combinatorial interpretation of Solomon's rule for multiplication in the descent algebra of Weyl groups of type $D$, $\Sigma D_n$. From here we show that $\Sigma D_n$ is a homomorphic image of the descent algebra of the hyperoctahedral group, $\Sigma B_{n-2}$.

7 pages

Cited by in corpus (1)

• The peak algebra and the descent algebras of types B and D