Slices for biparabolics of index one

Anthony Joseph (1) , Florence Fauquant-Millet (2)

1 Department of mathematics
2 ICJ - Institut Camille Jordan

Let g be a simple Lie algebra of type A and p a truncated biparabolic subalgebra of g of index one. We show that the second element of an adapted pair for p is the restriction of a regular nilpotent element of g.

Mots clés: invariants; slices; nil-cones

Domaines: Théorie des représentations [math.RT]

Anthony Joseph, Florence Fauquant-Millet. Slices for biparabolics of index one. Transformation Groups, 2011, 16 (4), pp.1081-1113. ⟨10.1007/s00031-011-9158-1⟩. ⟨hal-00863222⟩