Weights of Semiregular Nilpotents in Simple Lie Algebras of D Type

2020/01/24 by Yassir Dinar, Dinar, Yassir
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.2001.08907

arxiv created 2020/01/24 · arxiv updated 2020/01/27

Abstract

We compute the weights of the adjoint action of semiregular sl₂-triples in simple Lie algebras of type D_n using mathematical induction.

Related

• Normal forms of nilpotent elements in semisimple Lie algebras
• On the determination of 2-step solvable Lie algebra from its weight graph
• Computing weight q-multiplicities for the representations of the simple Lie algebras
• Structure constants for simple Lie algebras from principal \mathfraksl₂-triple
• Characteristically nilpotent Lie algebras : a survey