Equivariant Embeddings of Differentiable Spaces

Rivas, R., González, J., and De Salas, J.. "Equivariant Embeddings of Differentiable Spaces." Serdica Mathematical Journal 27.2 (2001): 107-114. <http://eudml.org/doc/11527>.

@article{Rivas2001,
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]).},
author = {Rivas, R., González, J., De Salas, J.},
journal = {Serdica Mathematical Journal},
keywords = {Affine Differentiable Spaces; Actions of Compact Lie Groups; Differentiable Algebras; action of compact Lie group; differentiable algebra; compact spectrum; affine differentiable space},
language = {eng},
number = {2},
pages = {107-114},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Equivariant Embeddings of Differentiable Spaces},
url = {http://eudml.org/doc/11527},
volume = {27},
year = {2001},
}

TY - JOUR
AU - Rivas, R.
AU - González, J.
AU - De Salas, J.
TI - Equivariant Embeddings of Differentiable Spaces
JO - Serdica Mathematical Journal
PY - 2001
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 27
IS - 2
SP - 107
EP - 114
AB - 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]).
LA - eng
KW - Affine Differentiable Spaces; Actions of Compact Lie Groups; Differentiable Algebras; action of compact Lie group; differentiable algebra; compact spectrum; affine differentiable space
UR - http://eudml.org/doc/11527
ER -