Revista Matemática Iberoamericana


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Volume 28, Issue 1, 2012, pp. 273–296
DOI: 10.4171/RMI/677

Published online: 2012-01-20

A non-computational approach to the gradings on $\mathfrak{f}_4$

Cristina Draper Fontanals[1]

(1) Universidad de Málaga, Spain

The fine group gradings on the exceptional Lie algebra $\mathfrak{f}_4$ have previously been determined by means of computational methods. A new argument is given to prove that there are just four fine gradings on $\mathfrak{f}_4$.

Keywords: Fine grading, exceptional Lie algebra, $\mathfrak{f}_4$, MAD-group.

Draper Fontanals Cristina: A non-computational approach to the gradings on $\mathfrak{f}_4$. Rev. Mat. Iberoamericana 28 (2012), 273-296. doi: 10.4171/RMI/677