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Visible actions on the non-symmetric homogeneous space SO(8, ℂℂ)/ G 2 (ℂℂ)

Visible actions on the non-symmetric homogeneous space SO(8, ℂℂ)/ G 2 (ℂℂ) A holomorphic action of a Lie group G on a connected complex manifold D is called strongly visible with slice S if G · S is open in D and if there exists an antiholomorphic diffeomorphism σσ of D preserving each G -orbit in D such that σσ | s = id s . This paper deals with the non-symmetric spherical variety SO(8, ℂℂ)/ G 2 (ℂℂ). We prove that a maximal compact subgroup of SO(8, ℂℂ) acts on SO(8, ℂℂ)/ G 2 (ℂℂ) in a strongly visible fashion. Moreover, we can take a slice to be of dimension three which coincides with the rank of this spherical variety. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

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