Differential forms on quotients by reductive group actions
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- by Michel Brion PDF
- Proc. Amer. Math. Soc. 126 (1998), 2535-2539 Request permission
Abstract:
Let $X$ be a smooth affine algebraic variety where a reductive algebraic group $G$ acts with a smooth quotient space $Y=X//G$. We show that the algebraic differential forms on $X$ which are pull-backs of forms on $Y$ are exactly the $G$-invariant horizontal differential forms on $X$.References
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Additional Information
- Michel Brion
- Affiliation: Institut Fourier, B. P. 74, 38402 Saint-Martin d’Hères Cedex, France
- MR Author ID: 41725
- Email: mbrion@fourier.ujf-grenoble.fr
- Received by editor(s): October 25, 1996
- Received by editor(s) in revised form: January 29, 1997
- Communicated by: Roe Goodman
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2535-2539
- MSC (1991): Primary 14L30, 22E99
- DOI: https://doi.org/10.1090/S0002-9939-98-04320-2
- MathSciNet review: 1451789