## A new basis for idempotents in the descent algebra

**Stephanie van Willigenburg**

(Visiting York University)

Abs: We shall recall some details about symmetric functions, and define
a certain set of minimal idempotents in the descent algebra of the symmetric
group. From here we shall set up the problem I am working on at present,
which concerns finding a new basis for these idempotents whose coefficients
lie in the ring of symmetric functions. We shall then motivate why we should
want to look for such a basis.