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Generalized character sums associated to regular prehomogeneous vector spaces

โœ Scribed by D. Kazhdan; A. Polishchuk


Publisher
Springer
Year
2000
Tongue
English
Weight
224 KB
Volume
10
Category
Article
ISSN
1016-443X

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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