Abstract.
In this paper we adapt a known construction for the simply laced, semisimple Lie algebras (over Z), and thereby obtain a very simple construction for all minuscule representations of those Lie algebras (again over Z). We apply these results to give explicit formulas for tensors invariant under the exceptional algebras \( E_6 \) and \( E_7 \).
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Received: November 3, 2000
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Lurie, J. On simply laced Lie algebras and their minuscule representations. Comment. Math. Helv. 76, 515–575 (2001). https://doi.org/10.1007/PL00013217
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DOI: https://doi.org/10.1007/PL00013217