A generalization of solomon’s algebra for hyperoctahedral groups and other wreath products
A generalization of solomon’s algebra for hyperoctahedral groups and other wreath products
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DOI：
10.1080/00927879508825205
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发表时间：
1995
影响因子：
0.7
通讯作者：
R. Mantaci;C. Reutenauerf
中科院分区：
文献类型：
--
作者：
R. Mantaci;C. Reutenauerf
本文给出了计算自由结合代数的自同态的两个卷积积的合成的组合规则，并导出了包含下降代数X#n的QB n（超八面体群的群代数）的子代数的构造.最后，我们将这种构造推广到对称群与交换群的圈积上.
In this paper we give a combinatorial rule to compute the composition of two convolution products of endomorphisms of a free associative algebra and deduce the construction of a subalgebra of QB n (the group algebra of Hyperoctahedral group) which contains the descent algebra X#„. We also deduce a proof of the multiplication rule in the algebra ∑QB n- Finally, we generalize this construction to other wreath products of symmetric groups by abelian groups.