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تسجيل مستخدم جديدSatellites of spherical subgroups
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Let $G$ be a complex connected reductive algebraic group. Given a spherical subgroup $H subset G$ and a subset $I$ of the set of spherical roots of $G/H$, we define, up to conjugation, a spherical subgroup $H_I subset G$ of the same dimension of $H$, called a satellite. We investigate various interpretations of the satellites. We also show a close relation between the Poincar{e} polynomials of the two spherical homogeneous spaces $G/H$ and $G/H_I$.
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