Title

Lie semigroups, homotopy, and global extensions of local homomorphisms

Document Type

Article

Publication Date

1-1-2015

Abstract

For a finite dimensional connected Lie group G with Lie algebra g, we consider a Lie-generating Lie wedge W ⊆ 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 ∩ S in the sense that continuous local homomorphisms extend to global ones on S. The constructions involve developing a homotopy theory of U ∩ S-directed paths. We also consider settings where the free construction leads to a simply connected covering of S.

Publication Source (Journal or Book title)

Journal of Lie Theory

First Page

753

Last Page

774

This document is currently not available here.

Share

COinS