JournalscmhVol. 76 , No. 3DOI 10.1007/pl00013217

On simply laced Lie algebras and their minuscule representations

  • Jacob Lurie

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

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 .