$Explicit constructions of some infinite families of finite-dimensional irreducible representations of the type $\mathsf{E}_{6}$ and $\mathsf{E}_{7}$ simple Lie algebras$

Explicit constructions of some infinite families of finite-dimensional irreducible representations of the type $\mathsf{E}_{6}$ and $\mathsf{E}_{7}$ simple Lie algebras

We construct every finite-dimensional irreducible representation of the simple Lie algebra of type $\mathsf{E}_{7}$ whose highest weight is a nonnegative integer multiple of the dominant minuscule weight associated with the type $\mathsf{E}_{7}$ root system. As a consequence, we obtain constructions...

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Hauptverfasser:	Donnelly, Robert G, Dunkum, Molly W, White, Austin
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Representation Theory
Online-Zugang:	Volltext bestellen
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