SEMINARS
Nilpotent orbits of a class of non-restricted simple Lie algebras

2017-05-23　15:00 — 16:00

Middle Lecture Room

The theory on nilpotent orbits of a reductive Lie algebra $L = Lie(\mathcal{L})$ for a connected reductive group $\mathcal{L}$ plays an important role in the structure and representations of $L$, especially in the associated geometric aspects. It is a highly-expected task to understand the structure of nilpotent orbits in simple Lie algebras of Cartan type under their adjoint algebraic group action.In this talk,we present the structure of the nilpotent orbits in the simplest non-restricted simple Lie algebras, i.e., the Zassenhaus algebra.In addition, some properties of the nilpotent cone are also given.