Reversibility properties of semigroup actions on homogeneous spaces
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Data
2012-06-01
Autores
dos Reis, Ronan A. [UNESP]
San Martin, Luiz A. B.
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Editor
Springer
Resumo
This paper studies reversibility of subsemigroups acting on homogeneous spaces. The reversor set of a subsemigroup is defined and it is related to the invariant control sets for semigroups acting on certain homogeneous spaces. Let G be a connected noncompact semi-simple Lie group with finite center. Let L be a subgroup of G. Assume that S is a subsemigroup of G with intS not equal empty set. The main result characterizes the reversibility of the S-action on G/L in terms of the actions of S and L on the flag manifolds of G.
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Semigroups, Semi-simple Lie groups, Reversibility, Flag manifold
Como citar
Semigroup Forum. New York: Springer, v. 84, n. 3, p. 472-486, 2012.