Properties of the descent algebras of type DD

We establish simple combinatorial descriptions of the radical and irreducible representations specifically for the descent algebra of a Coxeter group of type $D$ over any field.Comment: 7 page

PROPERTIES OF THE DESCENT ALGEBRAS OF TYPE D

Abstract. We establish simple combinatorial descriptions of the radical and irreducible representations specifically for the descent algebra of a Coxeter group of type D over any field. Key Words: Coxeter group, descent algebra, type D. 1