Involve: A Journal of Mathematics
- Volume 5, Number 1 (2012), 81-89.
Permutation notations for the exceptional Weyl group $F_4$
This paper describes a permutation notation for the Weyl groups of type and . 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.
Involve, Volume 5, Number 1 (2012), 81-89.
Received: 25 June 2011
Revised: 22 August 2011
Accepted: 28 August 2011
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 20G15: Linear algebraic groups over arbitrary fields 20G20: Linear algebraic groups over the reals, the complexes, the quaternions 22E15: General properties and structure of real Lie groups 22E46: Semisimple Lie groups and their representations 43A85: Analysis on homogeneous spaces
Cahn, Patricia; Haas, Ruth; Helminck, Aloysius; Li, Juan; Schwartz, Jeremy. Permutation notations for the exceptional Weyl group $F_4$. Involve 5 (2012), no. 1, 81--89. doi:10.2140/involve.2012.5.81. https://projecteuclid.org/euclid.involve/1513733451