Algebra and Combinatorics Seminar: Nathan Reading, NC State, Noncrossing partitions of classical affine type
SAS 2225The story of noncrossing partitions starts with a Coxeter group W anda Coxeter element c. (If you're not familiar with Coxeter things, think: W is the symmetric group S_n and c is an n-cycle.) The noncrossing partitions in W are the elements of the interval _T in a certain partial order on W (the absolute…