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|Type:||Artigo de periódico|
|Title:||Nonexistence of invariant semigroups in affine symmetric spaces|
|Author:||San Martin, LAB|
|Abstract:||Let (G, L, tau) be an affine symmetric space with G a simple Lie group, tau an involutive automorphism of G and L an open subgroup of the tau -fixed point group G(tau). It is proved here that the existence of a proper semigroup S subset of G with intS not equal 0 and L subset of S implies that (G, L, tau) is of Hermitian type, as conjectured by Hilgert and Neeb . When S exists, it turns out that it leaves invariant an open L-orbit in a minimal flag manifold of G. A byproduct of our approach is an alternate proof of the maximality of the compression semigroup of an open orbit (see Hilgert and Neeb ).|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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