On a subsemigroup of the universal covering of Lie semigroups

Autor(es)

Kizil, Eyuep ^[1] ; Lawson, Jimmie ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Semigroup Forum; v. 89, n. 3, p. 627-638, DEC 2014.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 12/20818-5 - Semigrupos de recobrimento universal de semigrupos de Lie
• Beneficiário: Eyüp Kizil
• Modalidade de apoio: Bolsas no Exterior - Pesquisa