We establish an irreducibility property for the characters of finite dimensional, irreducible representations of simple Lie algebras (or simple algebraic groups) over the complex numbers, i.e., that ...

Bulletin mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie, Nouvelle Série, Vol. 27 (75), No. 3 (1983), pp. 253-257 (5 pages) We prove that if ζ is a semi ...

Group gradings provide a powerful framework for decomposing algebraic structures into subspaces that are systematically indexed by a group. In the context of Lie algebras, which play a central role in ...

By combining the language of groups with that of geometry and linear algebra, Marius Sophus Lie created one of math’s most ...