Lie Semigroups, Homotopy, and Global Extensions of Local Homomorphisms

Autor(es)

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

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF LIE THEORY; v. 25, n. 3, p. 753-774, 2015.
• Citações Web of Science: 1

Resumo

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)

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