On the Descent Algebra of Type $D$

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

No reviews yet.

No comments yet.