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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, Andrâe and Kahn proved that for every H there exists such a homomorphism which is universal up to conjugacy....
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2010.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 973. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 049 | |a UAMI | ||
| 100 | 1 | |a O'Sullivan, Peter, |d 1951- |1 https://id.oclc.org/worldcat/entity/E39PBJkHpv3fJM398m8BtXXfMP | |
| 245 | 1 | 4 | |a The generalised Jacobson-Morosov theorem / |c Peter O'Sullivan. |
| 264 | 1 | |a Providence, R.I. : |b American Mathematical Society, |c 2010. | |
| 300 | |a 1 online resource (vii, 120 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v number 973 | |
| 500 | |a "Volume 207, number 973 (third of 5 numbers)." | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Affine group schemes over a field of characteristic zero -- Universal and minimal reductive homomorphisms -- Groups with action of a proreductive group -- Families of minimal reductive homomorphisms. | |
| 520 | |a "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 description. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Linear algebraic groups. | |
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Commutative rings. | |
| 650 | 0 | |a Algebraic varieties. | |
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 6 | |a Groupes linéaires algébriques. | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 6 | |a Anneaux commutatifs. | |
| 650 | 6 | |a Variétés algébriques. | |
| 650 | 6 | |a Géométrie algébrique. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Algebraic varieties |2 fast | |
| 650 | 7 | |a Commutative rings |2 fast | |
| 650 | 7 | |a Geometry, Algebraic |2 fast | |
| 650 | 7 | |a Group theory |2 fast | |
| 650 | 7 | |a Linear algebraic groups |2 fast | |
| 758 | |i has work: |a The generalised Jacobson-Morosov theorem (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGCr4YQbbGjW6QcQyh9WCP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a O'Sullivan, Peter, 1951- |t Generalised Jacobson-Morosov theorem |z 9780821848951 |w (DLC) 2010022758 |w (OCoLC)643081625 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 973. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114188 |z Texto completo |
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