Title: | Positive semicharacters of Lie semigroups |
Authors: | Mirotin, A.R. |
Keywords: | Lie group Lie semigroup semicharacte completely monotonic function representation |
Issue Date: | 1999 |
Citation: | Mirotin, A.R. Positive semicharacters of Lie semigroups / A.R. Mirotin // Positivity. - 1999. - Vol. 3. - №1. - P. 23-31. |
Abstract: | We study positive semicharacters of generating Lie subsemigroup ,l of a connected Lie group G. These semicharacters are important for positive representations of S in Hilbert space and for completely monotonic functions in S. We describe the tangent map for a positive semicharacter and then obtain a necessary and sufficient condition for nontriviality of the wedge Sf consisting of all bounded positive semicharacters of S. In particular Sf is nontrivial for a solvable iimply connected G and invariant ,S without nontrivial subgroups, but it is trivial for a semisimple G. |
URI: | http://elib.gsu.by/jspui/handle/123456789/41062 |
Appears in Collections: | Статьи |
Files in This Item:
File | Description | Size | Format | |
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Positive_Semicharacters.PDF | 5.37 MB | Adobe PDF | View/Open |
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