Let G be a (possibly nonconnected) reductive linear algebraic group over an algebraically closed field k, and let N โ N. The group G acts on G N by simultaneous conjugation. Let H be a reductive subgroup of G. We prove that if k has nonzero characteristic then the natural map of quotient varieties H
Contractions of the actions of reductive algebraic groups in arbitrary characteristic
โ Scribed by Frank D. Grosshans
- Publisher
- Springer-Verlag
- Year
- 1992
- Tongue
- English
- Weight
- 444 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0020-9910
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๐ SIMILAR VOLUMES
Let k be an algebraically closed field and G a linear algebraic group over k acting rationally on a k-algebra V. Generalizing work of Moeglin and Rentschler in characteristic zero, we study the action of G on the spectrum of rational ideals of V. The main result is the following. Suppose that V is s
We study rational actions of a linear algebraic group G on an algebra V, and the ลฝ . ลฝ induced actions on Rat V , the spectrum of rational ideals of V a subset of ลฝ . . Spec V which often includes all primitive ideals . This work extends results of Moeglin and Rentschler to prime characteristic, oft