Ir al contenido

Documat


The homotopy type of invariant control set

  • Santana, Alexandre J. [1]
    1. [1] Universidade Estadual de Maringá

      Universidade Estadual de Maringá

      Brasil

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 21, Nº. 3, 2002, págs. 225-243
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172002000300002
  • Enlaces
  • Resumen
    • Let G be a noncompact semi-simple Lie group, consider S a semigroup which contains a large Lie semigroup. We computer the homotopy type πₙ(C), where C is the invariant control set of the homogeneous space G=P with P ⊂ G a parabolic subgroup of G.

  • Referencias bibliográficas
    • Citas [1] C. J. Braga Barros e L. A. B. San Martin, On the action of semigroups in fiber bundles. Mat. Contemp. 13, pp. 1-19, (1997).
    • [2] J. Hilgert and K.-H. Neeb, Lie semigroups and their applications. Lecture Notes in Math. 1552. Springer-Verlag 1993.
    • [3] J. E. Humphreys, Reflection groups and coxeter groups. Cambridge studies in advanced mathematics 29 (1990).
    • [4] C. R. F. Maunder, Algebraic Topology. Van Nostrand (1970).
    • [5] D. Mittenhuber, On maximal Lie semigroups in real hyperbolic geometry.
    • [6] L. A. B. San Martin, Invariant control sets on flag manifolds. Mathematics of Control, Signals, and Systems 6, pp. 41-61, (1993).
    • [7] L. A. B. San Martin, Algebras de Lie. Editora da Unicamp (1999).
    • [8] L. A. B. San Martin, Maximal semigroups in semi-simple Lie groups. Trans. Amer. Math. Soc. To appear.
    • [9] L. A. B. San Martin, Nonexistence of invariant semigroups in affine symmetric spaces. Math. Ann. To appear.
    • [10] L. A. B San Martin and A. J. Santana, The homotopy type of Lie semigroups in semi-simple Lie groups. Monatsh. Math. To appear.
    • [11] L. A. B. San Martin and P. A. Tonelli, Semigroup actions on homogeneous spaces. Semigroup Forum 50, pp. 59-88, (1995).
    • [12] G. Warner, Harmonic analysis on semi-simple Lie groups I. SpringerVerlag (1972).

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno