Let G be a simply connected semisimple algebraic group and let K be the subgroup of points fixed by an involution of G. For certain representations containing a line r preserved by K, we study the normality of the closure of the set of vectors which are G conjugate to a vector in r. Some applications of our result to the normality of certain classical varieties are given.

On normality of cones over symmetric varieties

Chirivi' Rocco;
2006-01-01

Abstract

Let G be a simply connected semisimple algebraic group and let K be the subgroup of points fixed by an involution of G. For certain representations containing a line r preserved by K, we study the normality of the closure of the set of vectors which are G conjugate to a vector in r. Some applications of our result to the normality of certain classical varieties are given.
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: https://hdl.handle.net/11587/467669
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 7
social impact