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