Involve: A Journal of Mathematics
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.
: Weyl groups, Coxeter groups, one-line notation, permutations
© the authors
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.