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. © 2008 Birkhäuser Boston.
Orbits in degenerate compactifications of symmetric varieties / Maffei, Andrea. - In: TRANSFORMATION GROUPS. - ISSN 1083-4362. - STAMPA. - 14:1(2009), pp. 183-194. [10.1007/s00031-008-9040-y]
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. © 2008 Birkhäuser Boston.File allegati a questo prodotto
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