“Whoa! It's like Spotify but for academic articles.”

Instant Access to Thousands of Journals for just $40/month

Get 2 Weeks Free

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

Loading next page...

You're reading a free preview. Subscribe to read the entire article.

And millions more from thousands of peer-reviewed journals, for just $40/month

Get 2 Weeks Free

To be the best researcher, you need access to the best research

  • With DeepDyve, you can stop worrying about how much articles cost, or if it's too much hassle to order — it's all at your fingertips. Your research is important and deserves the top content.
  • Read from thousands of the leading scholarly journals from Springer, Elsevier, Nature, IEEE, Wiley-Blackwell and more.
  • All the latest content is available, no embargo periods.