## Involve: A Journal of Mathematics

• Involve
• Volume 5, Number 1 (2012), 81-89.

### Permutation notations for the exceptional Weyl group $F_4$

#### 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.

#### Article information

Source
Involve, Volume 5, Number 1 (2012), 81-89.

Dates
Revised: 22 August 2011
Accepted: 28 August 2011
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.involve/1513733451

Digital Object Identifier
doi:10.2140/involve.2012.5.81

Mathematical Reviews number (MathSciNet)
MR2924316

Zentralblatt MATH identifier
1259.20056

#### Citation

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

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