Abstract
Let J1 be the real form of a complex simple Jordan algebra such that the automorphism group is F4(−20). By using some orbit types of F4(−20) on J1, for F4(−20), explicitly, we give the Iwasawa decomposition, the Oshima-Sekiguchi's Kε-Iwasawa decomposition, the Matsuki decomposition, and the Bruhat and Gauss decompositions.
Citation
Akihiro Nishio. "The Iwasawa decomposition and the Bruhat decomposition of the automorphism group on certain exceptional Jordan algebra." Tsukuba J. Math. 37 (1) 85 - 119, July 2013. https://doi.org/10.21099/tkbjm/1373893407
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