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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On a subsemigroup of the universal covering of Lie semigroups

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Author(s):
Kizil, Eyuep [1] ; Lawson, Jimmie [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 - USA
Total Affiliations: 2
Document type: Journal article
Source: Semigroup Forum; v. 89, n. 3, p. 627-638, DEC 2014.
Web of Science Citations: 0
Abstract

Let be a connected Lie group and a generating Lie semigroup. An important fact is that generating Lie semigroups admit simply connected covering semigroups. Denote by the simply connected universal covering semigroup of . In connection with the problem of identifying the semigroup of monotonic homotopy with a certain subsemigroup of the simply connected covering semigroup we consider in this paper the following subsemigroup where is the lifting to of the exponential mapping . We prove that is also simply connected under the assumption that the Lie semigroup is right reversible. We further comment how this result should be related to the identification problem mentioned above. (AU)

FAPESP's process: 12/20818-5 - Universal covering semigroups of Lie semigroups
Grantee:Eyüp Kizil
Support Opportunities: Scholarships abroad - Research