OIST Representation Theory Seminar

Kay Jin Lim, Nanyang Technological University

Title: Descent Algebra of Type A

Abstract: For a finite Coxeter group W, L. Solomon defined certain subalgebra of the group algebra kW which is now commonly known as the Solomon’s descent algebra. As usual, the type A and B cases have special interest for both the algebraists and combinatorists. In this talk, I will be particularly focusing on the type A and modular case. It is closely related to the representation theory of the symmetric group and the (higher) Lie representations.