Extending algebraic actions.

@article{Wasserman1999,
abstract = {There is a well-known procedure -induction- for extending an action of a subgroup H of a Lie group G on a topological space X to an action of G on an associated space. Induction can also extend a smooth action of a subgroup H of a Lie group G on a manifold M to a smooth action of G on an associated manifold. In this paper elementary methods are used to show that induction also works in the category of (nonsingular) real algebraic varieties and regular or entire maps if G is a compact abelian Lie group.},
author = {Wasserman, Arthur G.},
journal = {Revista Matemática Complutense},
keywords = {Espacio topológico; Algebras; Variedad algebraica; Lie group; topological space; real algebraic varieties},
language = {eng},
number = {2},
pages = {463-474},
title = {Extending algebraic actions.},
url = {http://eudml.org/doc/44405},
volume = {12},
year = {1999},
}

TY - JOUR
AU - Wasserman, Arthur G.
TI - Extending algebraic actions.
JO - Revista Matemática Complutense
PY - 1999
VL - 12
IS - 2
SP - 463
EP - 474
AB - There is a well-known procedure -induction- for extending an action of a subgroup H of a Lie group G on a topological space X to an action of G on an associated space. Induction can also extend a smooth action of a subgroup H of a Lie group G on a manifold M to a smooth action of G on an associated manifold. In this paper elementary methods are used to show that induction also works in the category of (nonsingular) real algebraic varieties and regular or entire maps if G is a compact abelian Lie group.
LA - eng
KW - Espacio topológico; Algebras; Variedad algebraica; Lie group; topological space; real algebraic varieties
UR - http://eudml.org/doc/44405
ER -