JournalscmhVol. 76, No. 3pp. 515–575

On simply laced Lie algebras and their minuscule representations

  • Jacob Lurie

    Princeton University, USA
On simply laced Lie algebras and their minuscule representations cover
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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 E6E_6 and E7E_7 .

Cite this article

Jacob Lurie, On simply laced Lie algebras and their minuscule representations. Comment. Math. Helv. 76 (2001), no. 3, pp. 515–575

DOI 10.1007/PL00013217