## Figures from this paper

## 137 Citations

Cyclic Descents and P-Partitions

- Mathematics
- 2004

Louis Solomon showed that the group algebra of the symmetric group $$\mathfrak{S}_{n}$$n has a subalgebra called the descent algebra, generated by sums of permutations with a given descent set. In…

Nonassociative Solomon's descent algebras

- Mathematics
- 2018

Descent algebras of graded bialgebras were introduced by F. Patras as a generalization of Solomon's descent algebras for Coxeter groups of type $A$, i.e. symmetric groups. The universal enveloping…

A decomposition of the group algebra of a hyperoctahedral group

- Mathematics
- 2016

The descent algebra of a finite Coxeter group W is a subalgebra of the group algebra defined by Solomon. Descent algebras of symmetric groups have properties that are not shared by other Coxeter…

A decomposition of the group algebraof a hyperoctahedral group

- Mathematics
- 2018

The descent algebra of a finite Coxeter group W is a subalgebra of the group algebra defined by Solomon. Descent algebras of symmetric groups have properties that are not shared by other Coxeter…

A Decomposition of the Descent Algebra of a Finite Coxeter Group

- Mathematics
- 1992

The purpose of this paper is twofold. First we aim to unify previous work by the first two authors, A. Garsia, and C. Reutenauer (see [2], [3], [4], [5] and [10]) on the structure of the descent…

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