Special prehomogeneous vector spaces ass
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Jean-Louis Clerc
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Article
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2003
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Elsevier Science
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English
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A simple complex Lie algebra has a natural grading g = g -2 โg -1 โg 0 โg 1 โg 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