Normal forms of nilpotent elements in semisimple Lie algebras

2021/02/27 by Jibladze, Mamuka, Kac, Victor G.
#17B05 #17B20 #17B25 #20G05 #20G41 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2103.00261

Abstract

We find the normal form of nilpotent elements in semisimple Lie algebras that generalizes the Jordan normal form in \mathfraksl_N, using the theory of cyclic elements.

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