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Fine gradings on \(\mathfrak e_6\). (English) Zbl 1397.17012
Summary: 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.

MSC:
17B25 Exceptional (super)algebras
17B70 Graded Lie (super)algebras
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