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2012 Permutation notations for the exceptional Weyl group $F_4$
Patricia Cahn, Ruth Haas, Aloysius Helminck, Juan Li, Jeremy Schwartz
Involve 5(1): 81-89 (2012). DOI: 10.2140/involve.2012.5.81

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.

Citation

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Patricia Cahn. Ruth Haas. Aloysius Helminck. Juan Li. Jeremy Schwartz. "Permutation notations for the exceptional Weyl group $F_4$." Involve 5 (1) 81 - 89, 2012. https://doi.org/10.2140/involve.2012.5.81

Information

Received: 25 June 2011; Revised: 22 August 2011; Accepted: 28 August 2011; Published: 2012
First available in Project Euclid: 20 December 2017

zbMATH: 1259.20056
MathSciNet: MR2924316
Digital Object Identifier: 10.2140/involve.2012.5.81

Subjects:
Primary: 20G15, 20G20, 22E15, 22E46, 43A85

Rights: Copyright © 2012 Mathematical Sciences Publishers

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