Let G be a simply connected semisimple algebraic group and let H^0 be the subgroup of points fixed under an involution of G. If V is an irreducible representation with a line L of vectors fixed by H^0 we consider the closure of the G-orbit of L in P(V). We describe the G-orbits of this closure and we prove that the normalization of this variety is homeomorphic to the variety itself.
|Titolo:||Orbits in Degenerate Compactifications of Symmetric Varieties|
|Anno del prodotto:||2009|
|Digital Object Identifier (DOI):||10.1007/s00031-008-9040-y|
|Appare nelle tipologie:||1.1 Articolo in rivista|