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The generalised Jacobson-Morosov theorem /
"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....
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2010.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 973. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "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. |
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| Notas: | "Volume 207, number 973 (third of 5 numbers)." |
| Descripción Física: | 1 online resource (vii, 120 pages) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781470405878 1470405873 |
| ISSN: | 0065-9266 ; |