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On homaloidal polynomial functions of degree 3 and prehomogeneous vector spaces

โœ Scribed by Chaput, Pierre-Emmanuel; Sabatino, Pietro


Book ID
120289865
Publisher
Universitat de Barcelona
Year
2011
Tongue
Spanish
Weight
131 KB
Volume
64
Category
Article
ISSN
0010-0757

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๐Ÿ“œ SIMILAR VOLUMES


Special prehomogeneous vector spaces ass
โœ Jean-Louis Clerc ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 244 KB

A simple complex Lie algebra has a natural grading g = g -2 โŠ•g -1 โŠ•g 0 โŠ•g 1 โŠ•g 2 associated to the highest root. It is related to the quaternionic real form of g. The real rank of the associated symmetric space is shown to be at most 4. When the rank is equal to 4 (i.e., g = A n , C n , G 2 ), the s