On the Descent Algebra of Type $D$
Combinatorics
2016-11-08 v1
Abstract
Here we give a combinatorial interpretation of Solomon's rule for multiplication in the descent algebra of Weyl groups of type , . From here we show that is a homomorphic image of the descent algebra of the hyperoctahedral group, .
Cite
@article{arxiv.0706.2711,
title = {On the Descent Algebra of Type $D$},
author = {N. Bergeron and S. J. van Willigenburg},
journal= {arXiv preprint arXiv:0706.2711},
year = {2016}
}