The parabolic subgroups of the noncompact, exceptional Lie group F4(−20) are computed from a systematic analysis of Iwasawa and Langlands decompositions. Satake diagrams have been used to determine the involutive automorphisms of F4(−20) which facilitate the Iwasawa decompositions. The polarizations associated with noncompact orbits with parabolic subgroups are computed. The representations so obtained for these polarizations using Kostant’s induction scheme yield the principal series representations of F4(−20).
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© 1985 American Institute of Physics.
1985
American Institute of Physics
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