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.

combinatoricsquantum algebrarings and algebrasrepresentation theory

Audience: researchers in the topic

OIST representation theory seminar

Series comments: Timings of this seminar may vary from week to week.