Tsukuba Journal of Mathematics
- Tsukuba J. Math.
- Volume 37, Number 1 (2013), 85-119.
The Iwasawa decomposition and the Bruhat decomposition of the automorphism group on certain exceptional Jordan algebra
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.
Article information
Source
Tsukuba J. Math., Volume 37, Number 1 (2013), 85-119.
Dates
First available in Project Euclid: 15 July 2013
Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1373893407
Digital Object Identifier
doi:10.21099/tkbjm/1373893407
Mathematical Reviews number (MathSciNet)
MR3112420
Zentralblatt MATH identifier
1364.17029
Subjects
Primary: 20G41: Exceptional groups
Secondary: 17C30: Associated groups, automorphisms 57S20: Noncompact Lie groups of transformations
Citation
Nishio, Akihiro. The Iwasawa decomposition and the Bruhat decomposition of the automorphism group on certain exceptional Jordan algebra. Tsukuba J. Math. 37 (2013), no. 1, 85--119. doi:10.21099/tkbjm/1373893407. https://projecteuclid.org/euclid.tkbjm/1373893407
