We show that the proof of Luna's conjecture about the classification of
general wonderful G-varieties can be reduced to the analysis of finitely many
families of primitive cases. We work out all primitive cases arising with any
classical group G.
We show that the proof of Luna's conjecture about the classification of
general wonderful G-varieties can be reduced to the analysis of finitely many
families of primitive cases. We work out all primitive cases arising with any
classical group G.
A spherical system is a combinatorial object, arising in the theory of
wonderful varieties, defined in terms of a root system. All spherical systems
can be obtained by means of some general combinatorial procedures (parabolic
induction, fiber product and projective fibration) from the so-called primitive
spherical systems. Here we report the list of all primitive spherical systems.
A spherical system is a combinatorial object, arising in the theory of
wonderful varieties, defined in terms of a root system. All spherical systems
can be obtained by means of some general combinatorial procedures (parabolic
induction, fiber product and projective fibration) from the so-called primitive
spherical systems. Here we report the list of all primitive spherical systems.