# Extending algebraic actions.

Revista Matemática Complutense (1999)

- Volume: 12, Issue: 2, page 463-474
- ISSN: 1139-1138

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topWasserman, Arthur G.. "Extending algebraic actions.." Revista Matemática Complutense 12.2 (1999): 463-474. <http://eudml.org/doc/44405>.

@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 -