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Minimal and Maximal Semigroups Related to Causal Symmetric Spaces (2000)

Neumann, Andreas ; Ólafsson, Gestur

Springer

Semigroup forum 61 (2000), S. 57-85

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ISSN: 1432-2137

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: G/H be an irreducible globally hyperbolic semisimple symmetric space, and let S⊆G be a subsemigroup containing H not isolated in S. We show that if S o ≠ 0 then there are H-invariant minimal and maximal cones C min⊆C max in the tangent space at the origin such that H exp C min⊆S⊆HZ K (a)expC max. A double coset decomposition of the group G in terms of Cartan subspaces and the group H is proved. We also discuss the case where G/H is of Cayley type.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/PL00006015

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