Moufang Polygons /
This book gives the complete classification of Moufang polygons, starting from first principles. In particular, it may serve as an introduction to the various important algebraic concepts which arise in this classification including alternative division rings, quadratic Jordan division algebras of d...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg,
2002.
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| Series: | Springer monographs in mathematics.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book gives the complete classification of Moufang polygons, starting from first principles. In particular, it may serve as an introduction to the various important algebraic concepts which arise in this classification including alternative division rings, quadratic Jordan division algebras of degree three, pseudo-quadratic forms, BN-pairs and norm splittings of quadratic forms. This book also contains a new proof of the classification of irreducible spherical buildings of rank at least three based on the observation that all the irreducible rank two residues of such a building are Moufang polygons. In an appendix, the connection between spherical buildings and algebraic groups is recalled and used to describe an alternative existence proof for certain Moufang polygons. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (x, 538 pages) |
| ISBN: | 9783662046890 (electronic bk.) 366204689X (electronic bk.) |
| ISSN: | 1439-7382 |