A New Descent Algebra of Weyl Groups of Type An

Abstract

In this paper we define an equivalence relation on the set of all $x_J$ in order to form a basis for a new descent algebra of Weyl groups of type $A_n$. By means of this, we construct a new commutative and semi-simple descent algebra of Weyl groups of type $A_n$ generated by equivalence classes arising from this equivalence relation.

10 pages

Cited by in corpus (1)

• A New Descent Algebra for Standard Parabolic Subgroups of $W(A_n)$