Fine Gradings on $\mathfrak e_6$

Cristina Draper; Antonio Viruel

doi:pm/1450818485

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Home > Journals > Publ. Mat. > Volume 60 > Issue 1 > Article

2016 Fine Gradings on $\mathfrak e_6$

Cristina Draper, Antonio Viruel

Publ. Mat. 60(1): 113-170 (2016).

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Abstract

There are fourteen fine gradings on the exceptional Lie algebra $\mathfrak e_6$ over an algebraically closed field of zero characteristic. We provide their descriptions and a proof that any fine grading is equivalent to one of them.