Stable decompositions for some symmetric group characters arising in braid group cohomology

  • Authors:

  • David J. Hemmer

  • Affiliations:

  • Department of Mathematics, University at Buffalo, SUNY, 244 Mathematics Building, Buffalo, NY 14260, USA

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2011

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Abstract

We prove that certain permutation characters for the symmetric group @S"n 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 @S"n acting on the cohomology H^p(P"n,C) of the pure braid group P"n.