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

Abstract

A new descent algebra ${\sum }_W(A_n)$ of Weyl groups of type $A_n$, constructed by present authors in [1], is generated by equivalence classes $[x_J]$ arising from the equivalence relation defined on the set of all $x_J$. In this paper, we introduce the structure of this new descent algebra for standard parabolic subgroups $W_J$ of Weyl groups of type $A_n$.

6 pages

References in corpus (1)

• A New Descent Algebra of Weyl Groups of Type An