The generalised Jacobson-Morosov theorem
著者
書誌事項
The generalised Jacobson-Morosov theorem
（Memoirs of the American Mathematical Society, no. 973）
American Mathematical Society, c2010
大学図書館所蔵 件 / 全13件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"Volume 207, number 973 (third of 5 numbers)."
Includes bibliographical references (p. 117) and index
内容説明・目次
内容説明
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.
「Nielsen BookData」 より