Maximality of compression semigroups |
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| Authors: | Joachim Hilgert Karl-Hermann Neeb |
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| Affiliation: | 1. Mathematisches Institut, Technische Universit?t Clausthal, Erzstra?e 1, D-38678, Clausthal-Zellerfeld, Germany
2. Mathematisches Institut, Universit?t Erlangen, Bismarckstra?e 1-1/2, D-91054, Erlangen, Germany
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| Abstract: | LetG be a connected semisimple Lie group andr an involution onG. Further letL be an open subgroup of the groupG r ofr-fixed points andP⊂-G a parabolic subgroup. The semigroupS(L,P)∶={g∈G∶gLP⊂-LP} is called the compression semigroup of theL-orbit of the base point in the flag manifoldG/P. We show that compression semigroups for open orbits and regular symmetric pairs are maximal semigroups. Supported by a DFG Heisenberg-grant. |
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