On the Weyl Approach to Tensor Representations of Exceptional Lie Groups: The Case of G2 and F4
Luis J. Boya, R. Campoamor-Stursberg
Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 16 Dec 2014
10.9734/BJMCS/2015/10887Abstract
An attempt is made to approach the irreducible representations of the exceptional Lie groups G2 and F4 by symmetrization of some defining representations by means of Young tableaux, procedure that works rather well for most of the classical groups. For G2 the program is completely successful, while it is not quite so for F4. As the five exceptional Lie groups are related to octonions, we also comment on the “octonion” character of these two groups, in particular the relation of F4 to some other connected Spin groups.
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