Algebras with finitely generated invariant subalgebras

Ivan V. Arzhantsev[1]

  • [1] Moscow State University, Department of Mathematics and Mechanics, Chair of Higher Algebra, Vorobievy Gory, GSP-2, Moscow 119992 (Russie)

Annales de l’institut Fourier (2003)

  • Volume: 53, Issue: 2, page 379-398
  • ISSN: 0373-0956

Abstract

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We classify all finitely generated integral algebras with a rational action of a reductive group such that any invariant subalgebra is finitely generated. Some results on affine embeddings of homogeneous spaces are also given.

How to cite

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Arzhantsev, Ivan V.. "Algebras with finitely generated invariant subalgebras." Annales de l’institut Fourier 53.2 (2003): 379-398. <http://eudml.org/doc/116040>.

@article{Arzhantsev2003,
abstract = {We classify all finitely generated integral algebras with a rational action of a reductive group such that any invariant subalgebra is finitely generated. Some results on affine embeddings of homogeneous spaces are also given.},
affiliation = {Moscow State University, Department of Mathematics and Mechanics, Chair of Higher Algebra, Vorobievy Gory, GSP-2, Moscow 119992 (Russie)},
author = {Arzhantsev, Ivan V.},
journal = {Annales de l’institut Fourier},
keywords = {algebraic groups; rational $G$-algebras; quasi-affine homogeneous spaces; affine embeddings; rational -algebras},
language = {eng},
number = {2},
pages = {379-398},
publisher = {Association des Annales de l'Institut Fourier},
title = {Algebras with finitely generated invariant subalgebras},
url = {http://eudml.org/doc/116040},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Arzhantsev, Ivan V.
TI - Algebras with finitely generated invariant subalgebras
JO - Annales de l’institut Fourier
PY - 2003
PB - Association des Annales de l'Institut Fourier
VL - 53
IS - 2
SP - 379
EP - 398
AB - We classify all finitely generated integral algebras with a rational action of a reductive group such that any invariant subalgebra is finitely generated. Some results on affine embeddings of homogeneous spaces are also given.
LA - eng
KW - algebraic groups; rational $G$-algebras; quasi-affine homogeneous spaces; affine embeddings; rational -algebras
UR - http://eudml.org/doc/116040
ER -

References

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