The Generalised Jacobson-Morosov Theorem(Memoirs of the American Mathematical Society)

广义Jacobson-Morosov定理

代数几何学

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作      者
出版时间
2010年08月30日
装      帧
平装
ISBN
9780821848951
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页      码
120
开      本
25 cm.
语      种
英文
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图书简介
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).
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