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- Title
Proper -actions on homogeneous spaces.
- Authors
Bocheński, Maciej; Jastrzębski, Piotr; Okuda, Takayuki; Tralle, Aleksy
- Abstract
We study the existence problem of proper actions of on homogeneous spaces of reductive type. Based on Kobayashi's properness criterion [T. Kobayashi, Proper action on a homogeneous space of reductive type, Math. Ann. 285 (1989) 249-263.], we show that admits a proper -action via if a maximally split abelian subspace of Lie is included in the wall defined by a restricted root of Lie . We also give a number of examples of such .
- Subjects
HOMOGENEOUS spaces; ABELIAN semigroups; NUMBER theory; LIE groups; MATHEMATICAL models
- Publication
International Journal of Mathematics, 2016, Vol 27, Issue 13, p-1
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X16501068