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The generalised Jacobson-Morosov theorem / Peter O'Sullivan

By: Resource type: Ressourcentyp: BuchBookLanguage: English Series: American Mathematical Society. Memoirs of the American Mathematical Society ; 973 = Vol. 207,3Publisher: Providence, RI : American Mathematical Society, 2010Description: VII, 120 SISBN:
  • 9780821848951
Subject(s): Additional physical formats: Online-Ausg.: The generalised Jacobson-Morosov theorem. Providence, RI : American Math. Soc., 2010. Online-Ressource | Erscheint auch als: The generalised Jacobson-Morosov theorem. Online-Ausgabe Online-Ausg. Providence, R.I : American Mathematical Society, 2012. Online-Ressource (1 online resource (vii, 120 p.))MSC: MSC: 20G15 | *20G15 | 14L15 | 14L30 | 14L24 | 20G07 | 20E36 | 13A50RVK: RVK: SK 240 | SK 260LOC classification:
  • QA179
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, 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 descriptionPPN: PPN: 629894973
Holdings
Item type Home library Call number Status
Institutsbestand Fachbibliothek Mathematik Z 57 c Not for loan
Total holds: 0
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