English

On configuration spaces and Whitehouse's lifts of the Eulerian representations

Combinatorics 2019-01-25 v3 Algebraic Topology Representation Theory

Abstract

S. Whitehouse's lifts of the Eulerian representations of SnS_n to Sn+1S_{n+1} are reinterpreted, topologically and ring-theoretically, building on the first author's work on A. Ocneanu's theory of permutohedral blades.

Keywords

Cite

@article{arxiv.1808.04007,
  title  = {On configuration spaces and Whitehouse's lifts of the Eulerian representations},
  author = {Nick Early and Victor Reiner},
  journal= {arXiv preprint arXiv:1808.04007},
  year   = {2019}
}

Comments

Exposition improved; proof of Proposition 6 added. To appear in The Journal of Pure and Applied Algebra