Complexity of action of reductive groups
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Publication:1080914
DOI10.1007/BF01077308zbMath0601.14038OpenAlexW2128858776MaRDI QIDQ1080914
Publication date: 1986
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01077308
Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Plongements d'espaces homogènes
- Multiplicity-free spaces
- Actions with a finite number of orbits
- Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen
- Equivariant completion
- Some Basic Theorems on Algebraic Groups
- Prehomogeneous Vector Spaces and Varieties
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