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.

Orbits in Degenerate Compactifications of Symmetric Varieties

MAFFEI, ANDREA
2009

Abstract

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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/130491
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact