THE HOMOTOPY TYPE OF INVARIANT CONTROL SET

THE HOMOTOPY TYPE OF INVARIANT CONTROL SET

Let G be a noncompact semi-simple Lie group, consider S a semi-group which contains a large Lie semigroup. We computer the homo-topy type pin(C), where C is the invariant control set of the homoge-neous space G=P with P <FONT FACE=Symbol>Ì</FONT> G a parabolic subgroup of G

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Detalles Bibliográficos
Autor principal: SANTANA,ALEXANDRE J.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2002
Materias:
Semigroups
Lie groups
homotopy type
control sets
flag manifolds
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000300002
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Sumario:Let G be a noncompact semi-simple Lie group, consider S a semi-group which contains a large Lie semigroup. We computer the homo-topy type pin(C), where C is the invariant control set of the homoge-neous space G=P with P <FONT FACE=Symbol>Ì</FONT> G a parabolic subgroup of G

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