Permutation notations for the exceptional Weyl group F₄

Authors

Patricia Cahn, Dartmouth CollegeFollow
Ruth Haas, Smith CollegeFollow
Aloysius G. Helminck, North Carolina State University
Juan Li, Cornell University
Jeremy Schwartz, University of Maryland

Document Type

Article

Publication Date

2012

Publication Title

Involve: A Journal of Mathematics

Abstract

This paper describes a permutation notation for the Weyl groups of type F4 and G2. The image in the permutation group is presented as well as an analysis of the structure of the group. This description enables faster computations in these Weyl groups which will prove useful for a variety of applications.

Keywords

: Weyl groups, Coxeter groups, one-line notation, permutations

Volume

5

Issue

1

DOI

10.2140/involve.2012.5.81

Rights

© the authors

Comments

Archived as published.

Recommended Citation

Cahn, Patricia; Haas, Ruth; Helminck, Aloysius G.; Li, Juan; and Schwartz, Jeremy, "Permutation notations for the exceptional Weyl group F₄" (2012). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/58