Student Combinatorics and Algebra Seminar
Thursday, February 13, 2020
4:40pm in Vincent 570

Solomon's descent algebra and hyperplane arrangements

Sarah Brauner



In 1976, Solomon discovered a surprising subalgebra of the group algebra of a Coxeter group. This subalgebra—henceforth Solomon's descent algebra—is spanned by sums of elements with the same (Coxeter) descent set. In this talk, I will describe a beautiful connection, due to Bidigare, between Solomon's descent algebra and the world of hyperplane arrangements.