JOURNAL ARTICLE
Algebras with finitely generated invariant subalgebras
Year: 2003 Journal: Annales de l’institut Fourier Vol: 53 (2)Pages: 379-398 Publisher: Association of the Annals of the Fourier Institute
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.
Keywords:
Subalgebra Mathematics Finitely-generated abelian group Invariant (physics) Homogeneous Pure mathematics Affine transformation Stallings theorem about ends of groups Action (physics) Algebra over a field Combinatorics Physics
Metrics
5
Cited By
0.91
FWCI (Field Weighted Citation Impact)
11
Refs
0.70
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Topics
Advanced Algebra and Geometry
Physical Sciences → Mathematics → Mathematical Physics
Algebraic structures and combinatorial models
Physical Sciences → Mathematics → Geometry and Topology
Advanced Topics in Algebra
Physical Sciences → Mathematics → Algebra and Number Theory
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