The Generalised Jacobson-Morosov Theorem - 9780821848951
Un libro in lingua di Peter O'sullivan edito da Amer Mathematical Society, 2010
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"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, Andrãae 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.
Informazioni bibliografiche
- Titolo del Libro in lingua: The Generalised Jacobson-Morosov Theorem
- Lingua: English
- Autore: Peter O'sullivan
- Editore: Amer Mathematical Society
- Collana: Amer Mathematical Society (Paperback)
- Data di Pubblicazione: 15 Settembre '10
- Genere: MATHEMATICS
- Argomenti : Linear algebraic groups Group theory Commutative rings
- Pagine: 120
- Dimensioni mm: 247 x 171 x 6
- ISBN-10: 082184895X
- EAN-13: 9780821848951