Geodesic
Dual pair G... x PGL2 G... is the automorphism group of the Jordan algebra.
Inventiones mathematicae, Tome 118 (1994) no. 1, pp. 141-160.

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Keywords: spherical representation, wavefront set, automorphism group, Jordan algebra, dual pair, minimal representation, Weil representation 
@article{IM_1994__118_1_144233,
     author = {Gordan Savin},
     title = {Dual pair {G...} x  {PGL2} {G...} is the automorphism group of the {Jordan} algebra.},
     journal = {Inventiones mathematicae},
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     publisher = {mathdoc},
     volume = {118},
     number = {1},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM_1994__118_1_144233/}
}
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Gordan Savin. Dual pair G... x  PGL2 G... is the automorphism group of the Jordan algebra.. Inventiones mathematicae, Tome 118 (1994) no. 1, pp. 141-160. http://geodesic.mathdoc.fr/item/IM_1994__118_1_144233/