Article ID Journal Published Year Pages File Type
4656138 Journal of Combinatorial Theory, Series A 2011 4 Pages PDF
Abstract

We prove that certain permutation characters for the symmetric group Σn decompose in a manner that is independent of n for large n. This result is a key ingredient in the recent work of T. Church and B. Farb, who obtain a “representation stability” theorem for the character of Σn acting on the cohomology Hp(Pn,C) of the pure braid group Pn.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics