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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.)

Lie Semigroups, Homotopy, and Global Extensions of Local Homomorphisms

Author(s):
Kizil, Eyuep [1] ; Lawson, Jimmie [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, 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: JOURNAL OF LIE THEORY; v. 25, n. 3, p. 753-774, 2015.
Web of Science Citations: 1
Abstract

For a finite dimensional connected Lie group G with Lie algebra g, we consider a Lie-generating Lie wedge W subset of g. If S is a Lie subsemigroup of G with subtangent wedge W we give sufficient conditions for S to be free on small enough local semigroups U boolean AND S in the sense that continuous local homomorphisms extend to global ones on S. The constructions involve developing a homotopy theory of U boolean AND S-directed paths. We also consider settings where the free construction leads to a simply connected covering of S. (AU)

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