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

Abstract

Six fine gradings on the real form ${\mathfrak{e}}_{6,-14}$ are described, precisely those ones coming from fine gradings on the complexified algebra. The universal grading groups are ${\mathbb{Z}}_2^3\times {\mathbb{Z}}_3^2$, ${\mathbb{Z}}_2^6$, $\mathbb{Z}\times {\mathbb{Z}}_2^4$, ${\mathbb{Z}}_2^7$, $\mathbb{Z}\times {\mathbb{Z}}_2^5$ and ${\mathbb{Z}}^2\times {\mathbb{Z}}_2^3$.

27 pages

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Cited by in corpus (1)

• Classification of real simple symplectic triple systems