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On the extensions of infinite-dimensional representations of Lie semigroups

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  • Adolf R. Mirotin

Abstract

The necessary and sufficient conditions have been obtained for extendability of a Banach representation of a generating Lie semigroup S to a local representation of the Lie group G generated by S when the tangent wedge of S is a Lie semialgebra. The most convenient conditions we obtain correspond to the case of unitary representations. In this case, we give a criterion of global extendability if G is exponential and solvable.

Suggested Citation

  • Adolf R. Mirotin, 2002. "On the extensions of infinite-dimensional representations of Lie semigroups," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-13, January.
    • Handle: RePEc:hin:jijmms:275151
    DOI: 10.1155/S0161171202011559
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