| Description |
1 online resource (vii, 120 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; number 973 |
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Memoirs of the American Mathematical Society ; no. 973.
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| Contents |
Affine group schemes over a field of characteristic zero -- Universal and minimal reductive homomorphisms -- Groups with action of a proreductive group -- Families of minimal reductive homomorphisms |
| Summary |
"The author considers homomorphisms H to K from an affine group scheme H over a field k of characteristic zero to a proreductive group K. Using a general categorical splitting theorem, Andrâe and Kahn proved that for every H there exists such a homomorphism which is universal up to conjugacy. The author gives a purely group-theoretic proof of this result. The classical Jacobson-Morosov theorem is the particular case where H is the additive group over k. As well as universal homomorphisms, the author considers more generally homomorphisms H to K which are minimal, in the sense that H to K factors through no proper proreductive subgroup of K. For fixed H, it is shown that the minimal H to K with K reductive are parametrised by a scheme locally of finite type over k."--Publisher's description |
| Notes |
"Volume 207, number 973 (third of 5 numbers)." |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
|
Print version record |
| Subject |
Linear algebraic groups.
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Group theory.
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Commutative rings.
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Algebraic varieties.
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Geometry, Algebraic.
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MATHEMATICS -- Algebra -- Intermediate.
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Algebraic varieties
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Commutative rings
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Geometry, Algebraic
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Group theory
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Linear algebraic groups
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| Form |
Electronic book
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| ISBN |
9781470405878 |
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1470405873 |
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