descent algebra

If WW is a finite Coxeter group then the associated Solomon’s descent algebra is certain subalgebra Σ[W]\Sigma[W] of the integral group algebra Z[W]\mathbf{Z}[W] discovered/introduced in

  • L. Solomon, A Mackey formula in the group ring of a Coxeter group, J. Algebra 41, (1976), 255-268, MR0444756, doi

Other literature

  • Mike Atkinson, A new proof of a theorem of Solomon, Bull. London Math. Soc. 18 (1986), 351-354; Solomon’s descent algebra revisited, Bull. London Math. Soc. 24 (1992), 545-551.
  • Goetz Pfeiffer, A quiver presentation for Solomon’s descent algebra, arxiv/0709.3914
  • Israel Gelfand, D. Krob, Alain Lascoux, B. Leclerc, V. S. Retakh, J.-Y. Thibon, Noncommutative symmetric functions, hep-th/9407124

Created on January 3, 2012 at 18:28:25. See the history of this page for a list of all contributions to it.