Fine gradings on the simple Lie algebras of type $E$

Abstract

Some fine gradings on the exceptional Lie algebras ${\mathfrak{e}}_6$, ${\mathfrak{e}}_7$ and ${\mathfrak{e}}_8$ are described. This list tries to be exhaustive.

arXiv commentNote di Matematica, 2014

References in corpus (7)

• An Exceptionally Simple Theory of Everything
• Gradings on the Albert Algebra and on $f_4$
• Fine gradings on ${\mathfrak{e}}_6$
• Maximal abelian subgroups of compact simple Lie groups
• Maximal finite abelian subgroups of E8
• Weyl groups of the fine gradings on $\e_6$
• A ${\mathbb{Z}}_4^3$-grading on a 56-dimensional simple structurable algebra and related fine gradings on the simple Lie algebras of type E

Cited by in corpus (2)

• Symmetries on the real form ${\mathfrak{e}}_{6,-26}$
• Gradings on the real form ${\mathfrak{e}}_{6,-14}$