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arXiv · 0706.2711

On the Descent Algebra of Type $D$

N. Bergeron·S. J. van Willigenburg
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Abstract

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, $ΣB_{n-2}$.

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BibTeXRIS

N. Bergeron, S. J. van Willigenburg. 2007-06-19. On the Descent Algebra of Type $D$. https://doi.org/10.1006/jabr.1998.7428

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