Journal of Lie Theory

no. 2
Real forms of dual pairs g2×h in g of type E6, E7 and E8
Journal of Lie Theory, Volume 21 (2011) no. 2, pp. 417-426
\def\a{{\frak a}} \def\g{{\frak g}} \def\h{{\frak h}} Let $\g$ be a complex Lie algebra of type $E_6$, $E_7$ or $E_8$ and let $\g_2\times\h$ be a dual pair in $\g$. In this paper, we look for possible real forms of $\g_2\times\h$. It turns out that for each $n$ and for all real forms, say $\a_0\times\h_0$ of $\g_2\times\h$, there exists a real form $\g_0$ of $\g$ such that $\a_0\times\h_0$ embedds into $\g_0$. The full description is given in Theorem 3.1.
DOI: 10.5802/jolt.637
Classification: 17B05
Keywords: Dual pairs, real forms 
@article{JOLT_2011_21_2_a6,
     author = {D. Kovacevic},
     title = {Real forms of dual pairs g\protect\textsubscript{2}{\texttimes}h in g of type {E\protect\textsubscript{6},} {E\protect\textsubscript{7}} and {E\protect\textsubscript{8}}},
     journal = {Journal of Lie Theory},
     pages = {417--426},
     year = {2011},
     volume = {21},
     number = {2},
     doi = {10.5802/jolt.637},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.637/}
}
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D. Kovacevic. Real forms of dual pairs g2×h in g of type E6, E7 and E8. Journal of Lie Theory, Volume 21 (2011) no. 2, pp. 417-426. doi: 10.5802/jolt.637

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