Canonical Forms for Dihedral and Symmetric Groups

  • Robert Shwartz
DOI: https://doi.org/10.37236/8583

Abstract

In this paper we introduce the elementary factorization of the standard OGS for the symmetric group, and show how it encodes the inversion and descent set statistics. Proofs follow from exchange laws for powers of Coxeter elements in the principal flag.

Published
2019-12-20
How to Cite
Shwartz, R. (2019). Canonical Forms for Dihedral and Symmetric Groups. The Electronic Journal of Combinatorics, 26(4), P4.46. https://doi.org/10.37236/8583
Issue
Volume 26, Issue 4 (2019)
Article Number
P4.46