Direct limits of infinite-dimensional Lie groups - Mathematics > Group TheoryReportar como inadecuado




Direct limits of infinite-dimensional Lie groups - Mathematics > Group Theory - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: Many infinite-dimensional Lie groups of interest can be expressed as a unionof an ascending sequence of finite- or infinite-dimensional Lie groups. Inthis survey article, we compile general results concerning such ascendingunions, describe the main classes of examples, and explain what the generaltheory tells us about these.In particular, we discuss:1 Direct limit properties of ascending unions of Lie groups in the relevantcategories;2 Regularity in Milnor-s sense;3 Homotopy groups of direct limit groups and of Lie groups containing adense union of Lie groups;4 Subgroups of direct limit groups;5 Constructions of Lie group structures on ascending unions of Lie groups.



Autor: Helge Glockner

Fuente: https://arxiv.org/







Documentos relacionados