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Record Nr. |
UNINA9910811629903321 |
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Autore |
O'Sullivan Peter <1951-> |
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Titolo |
The generalised Jacobson-Morosov theorem / / Peter O'Sullivan |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2010 |
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©2010 |
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ISBN |
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Descrizione fisica |
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1 online resource (120 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 207, Number 973 |
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Disciplina |
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Soggetti |
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Linear algebraic groups |
Group theory |
Commutative rings |
Algebraic varieties |
Geometry, Algebraic |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 207, Number 973 (third of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""Contents""; ""Introduction""; ""Notation and Terminology""; ""Chapter 1. Affine Group Schemes over a Field of Characteristic Zero""; ""1.1. Groups""; ""1.2. Representations""; ""1.3. Spaces of homomorphisms""; ""Chapter 2. Universal and Minimal Reductive Homomorphisms""; ""2.1. Reductive homomorphisms""; ""2.2. Universal reductive homomorphisms""; ""2.3. Minimal reductive homomorphisms""; ""Chapter 3. Groups with Action of a Proreductive Group""; ""3.1. Simply connected groups""; ""3.2. Groups with action of a group""; ""3.3. Equivariant homomorphisms"" |
""Chapter 4. Families of Minimal Reductive Homomorphisms""""4.1. Stratifications and constructible subsets""; ""4.2. Reductive group schemes""; ""4.3. Universal families""; ""Bibliography""; ""Index"" |
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Sommario/riassunto |
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"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 |
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