On the Number of Control Sets on Flag Manifolds of the Real Simple Lie Groups

نویسندگان

  • Carlos José Braga Barros
  • J. D. Lawson
چکیده

In this paper we determine upper bounds for the number of control sets on flag manifolds of a real non-compact simple Lie group whose Lie algebra is a real form of a complex simple Lie algebra. The estimates for the number of control sets are based on the results of San Martin and Tonelli [6]. They are determined by computing the orbits of a subgroup of the Weyl Group.

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تاریخ انتشار 1998