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For a certain maximal parabolic  P  of      SL ( n + 1 , R ) {\text {SL}}(n + 1,\mathbb {R})      , the complete invariant theory is presented for a class of  P -representation modules. These modules arise naturally from the geometry of      P n {\mathbb {P}^n}      . In particular, a means of listing all the exceptional invariants is described. This is a model problem for some parabolic invariant theory problems posed by Fefferman.

Invariant theory for a parabolic subgroup of 𝑆𝐿(𝑛+1,𝑅)