Affine Differentiable Spaces Actions of Compact Lie Groups Differentiable Algebras
Issue Date:
2001
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 27, No 2, (2001), 107p-114p
Abstract:
Given a differentiable action of a compact Lie group G on a
compact smooth manifold V , there exists [3] a closed embedding of V into
a finite-dimensional real vector space E so that the action of G on V may
be extended to a differentiable linear action (a linear representation) of G
on E. We prove an analogous equivariant embedding theorem for compact
differentiable spaces (∞-standard in the sense of [6, 7, 8]).
