Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673279 | Indagationes Mathematicae | 2007 | 12 Pages |
Abstract
Let G be a Lie group and L C G a Lie subgroup. We give necessary and sufficient conditions for a family of cosets of L to generate a subsemigroup with nonempty interior in G. We apply these conditions to symmetric pairs (G, L) where L is a subgroup of G such that Go C L C Gi and r is an involutive automorphism of G. As a consequence we prove that for several r the fixed point group GI is a maximal semigroup.
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