2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.RT2006★ 2 cited
Transverse Poisson Structures to Adjoint orbits in semi-simple Lie algebras
Pantelis A. Damianou, Herve Sabourin, Pol Vanhaecke
We study the transverse Poisson structure to adjoint orbits in a complex semi-simple Lie algebra. The problem is first reduced to the case of nilpotent orbits. We prove then that i…
math.RT2004
On the irreducibility of the commuting variety of a symmetric pair associated to a parabolic subalgebra with abelian unipotent radical
Herve Sabourin, Rupert W. T. Yu
In this paper, we study the commuting variety of symmetric pairs associated to parabolic subalgebras with abelian unipotent radical in a simple complex Lie algebra. By using the ``…