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, André and Kahn proved that for every H there exists such a homomorphism which is universal up to conjugacy. Th...
| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
2010.
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| Series: | Memoirs of the American Mathematical Society ;
no. 973. |
| Subjects: |
| 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, André 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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| Item Description: | "Volume 207, number 973 (third of 5 numbers)." |
| Physical Description: | vii, 120 pages ; 25 cm. |
| Bibliography: | Includes bibliographical references (page 117) and index. |
| ISBN: | 9780821848951 (alk. paper) 082184895X (alk. paper) |
| ISSN: | 0065-9266 ; |