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Explicit Classifications of Orbits in Jordan Algebra and Freudenthal Vector Space Over the Exceptional Lie Groups |
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| Authors: | Osamu Shukuzawa |
| Affiliation: | 1. 12-8 Takeda 2-chome, Kofu 400-0016, Japan oshuku@jade.plala.or.jp |
| Abstract: | ABSTRACT We give the explicit classifications of orbits in the Jordan algebra 𝔍 over the group E 6(?26) and the Freudenthal, R -vector space 𝔓 over the group E 7(?25). Communicated by E. Zelmanov |
| Keywords: | Canonical form Classification of orbits Exceptional Lie group Freudenthal vector space Jordan algebra Orbit Quadratic form Rank |